Answer:
The account will take 7 years to reach a value of $4,020
Step-by-step explanation:
Compound Interest
When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.
It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:
[tex]{\displaystyle 4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}}[/tex]
Calculating:
[tex]{\displaystyle 4,020=2,700\left(1.0045)^{12t}}[/tex]
Dividing by 2,700:
[tex]{\displaystyle \frac{4,020}{2,700}=\left(1.0045)^{12t}}[/tex]
To solve this equation for t, we need to apply logarithms:
[tex]{\displaystyle \log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}}[/tex]
Applying the logarithm power rule:
[tex]\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045[/tex]
Dividing by 12log 1.0045:
[tex]\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}[/tex]
Calculating:
t= 7.39 years
Rounding to the nearest year, the account will take 7 years to reach a value of $4,020
Answer:
7
Step-by-step explanation:
Tim has x beads. Amy has two more beads than Tim. Sarah has five times as many beads as Amy. How many beads does Sarah have?
Answer:well we need to know how mmch tim has so like
x?+2 is amy
x?+2*5 is sarah
Step-by-step explanation:
Chloe charged for admission to her play on three different nights. Each night, a
different number of people were in attendance, but remarkably, Chloe collected
S541 each night. If the admission charges for each child and each adult were $9
and S17, respectively, how many people in total came to the three showings?
Answer:
The number of people in total that came to the three showings is 138 people
Step-by-step explanation:
The amount Chloe collected each night for admission to her play = $541
The admission charge for each child = $9
The admission charge for each adult = $17
The number of people attending the play each of the three nights are different
Let x represent the number of children that attend the play on the first night and ley y represent the number of adults that attend, we have;
9·x + 17·y = 541
For the second night, we have;
9·a + 17·b = 541
For the third night, we have;
9·c + 17·d = 541
27·(x + a + c) + 51·(y + b + d) = 1,623
Using Microsoft Excel, where we create a series with the first term = 541 and the common difference, d = -9 and number the adjacent column serially from 1 to 61 and the on the right column we divide the created series by 17 then we search for the whole number combinations, we get three possible combinations as follows;
12 children and 26 adults
29 children and 17 adults
46 children and 8 adults
Therefore, the number of people in total that came to the three showings = 12 + 26 + 29 + 17 + 46 + 8 = 138
The number of people in total that came to the three showings = 138 people.
PLS HELP: I am unsure how to calculate this into final numbers.
Cal Amity found that 24% of his sample answered "yes" to the third survey question, which was, "Have you done anything, or will you do anything, to prepare any other part of your home before Gourmando's visit?" (880 Surveyed)
Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare another part of their homes before Gourmando's visit.
880 were surveyed.
24% answered yes.
Multiply number of surveyed by percentage that said yes:
880 x 0.24 = 211.2
Since the answer has a decimal, the number of people would be the whole number above and below the decimal.
The answer is between 211 and 212
Answer:
Let the number of people answered "yes" be x
[tex]24\% \: of \: 880 \\ \frac{24}{100} \times 880 = 211.2 = 211(approx)[/tex]
211 of the people answered "yes".Plzzzz help I’ll mark you
Answer:
3/10 liters more
Step-by-step explanation:
8/10 - 5/10 = 3/10
Mika taught her sister the steps for diviting a decimal by a decimal which instructions are correct
Complete question is;
Mika taught her sister the steps for dividing a decimal by a decimal. Which instructions are correct?
A) 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
B) 1. Multiply the dividend by a multiple of 10 to create an integer. 2. Multiply the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
C) 1. Divide the divisor by a multiple of 10 to create an integer divisor. 2. Divide the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
D) 1. Divide the dividend by a multiple of 10 to create an integer. 2. Divide the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
Answer:
A) 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
Step-by-step explanation:
In Mathematics, divisor is the number by which the dividend should be divided.
Now, if we want to divide a decimal by another decimal, to make things easy we have to transform both numbers from decimals to integer form to make direct division easier.
The first step will be to multiply the divisor by a multiple of 10. The multiple of 10 will depend on the number of decimal places.
The second step is to do the same to the dividend.
The last step would be to divide the integers by applying rules of division of numbers.
The correct option is Option A:
HELP PLS ITS TIMED TEST TY-
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).
The city planner wants to plant a tree at the orthocenter of the park. What are the coordinates of the tree?
ANSWER: (__,__)
Answer:
(1,4)
Step-by-step explanation:
Answer:
1, 4
Step-by-step explanation:
What is a slope of a line parallel to the line whose equation is Y - X = 5
A) -1
B) 1/5
C) 1
D) 5
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y - x = 5 ( add x to both sides )
y = x + 5 ← in slope- intercept form
with slope m = 1
Parallel lines have equal slope, thus
the slope of a parallel line is m = 1 → C
-1 over 5 divided by 7 over 4
Answer:-0.00714
Step-by-step explanation: STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
0 - — ÷ 7 ÷ 4
5
STEP
2
:
1
Divide — by 7
5
Equation at the end of step
2
:
1
0 - —— ÷ 4
35
STEP
3
:
1
Divide —— by 4
35
Equation at the end of step
3
:
1
0 - ———
140
STEP
4
:
Final result :
-1
——— = -0.00714
140
The value of (3a – 4b + 2) × (5a + 6) for a = 1 and b = -2 is
Step-by-step explanation:
We know that
a=1 and b= -2
{3*1-4*(-2)+2} .{5*1+6}
= (13-11)
=2
Answer:
143
Step-by-step explanation:
(3a – 4b + 2) × (5a + 6)
a = 1 ; b = - 2
(3(1) – 4(-2) + 2) × (5(1) + 6)
Inputting the values of a and b
(3 - (-8) + 2) * (5 + 6)
(3 + 8 + 2) * (11)
13 * 11
= 143
Will mark Brainlyest Use the properties of exponents to simplify the expression(y^3/2 X^-1/2)^4
Answer:
the answer would be y^6/x^2
Step-by-step explanation:
so (Y) to the sixth power over (X) to the second power
which expression is the best estimate of 1 1/5 X 3 2/3
A: 2 X 3
B: 1 X 4
C: 2 X 3
D: 1 X 3
Read the excerpt from The Monsters Are Due on Maple Street.
56. TRACK SHOT – STEVE 56.
From several yards down as he walks down the steps of his porch, walks down the street over to Les Goodman's house and then stops at the foot of the steps.
57. REVERSE ANGLE – LOOKING TOWARD SCREEN DOOR 57.
Goodman stands there, his wife behind him very frightened.
GOODMAN
Just stay right where you are, Steve. We don't want any trouble but this time if anybody sets foot on my porch that's what they're going to get—trouble!
Based on Goodman’s reaction to Steve, what will most likely happen next?
Les and Steve will have a heated argument.
Everyone in the neighborhood will go home.
The anger and fear among the neighbors will increase.
Les will turn out to be an alien invader in disguise.
Answer:
C. the anger among the neighbors will increase
Step-by-step explanation:
i got 100 on my quiz
Answer:
C) The anger and fear among the neighbors will increase
Step-by-step explanation:
Based on the evidence in the excerpt, what will most likely happen next. A) The crowd will turn against Steve, believing he is an alien in disguise.Which of the excerpts from The Monsters Are Due on Maple Street is an example of foreshadowing? A)“Where is Pete Van Horn anyway? Didn't he get back yet?”Which of the excerpts from The Monsters Are Due on Maple Street best foreshadows that the residents of Maple Street will turn against Les Goodman? B)“He always was an odd ball. Him and his whole family. Real odd ball.”Based on Goodman’s reaction to Steve, what will most likely happen next? C) The anger and fear among the neighbors will increase.Based on Steve’s actions in the first part of The Monsters Are Due on Maple Street, readers may have predicted that Steve would continue being the town’s leader during the power outage. How should readers revise this prediction after Don asks Steve about his radio? C)Readers should now predict that Steve will no longer be in charge.Which excerpt from The Monsters Are Due on Maple Street best foreshadows the idea that the residents of Maple Street are becoming a dangerous mob? A) The crowd picks this up again and with it their suspicions come back with a rush. The murmur becomes a loud chant filling the air with accusations and demands for action. Two of the men pass Don right up the steps. Goodman flattens himself against the screen door.The writer of this excerpt uses D)indirect characterization to show that Les Goodman is nervous.What do Don’s words suggest about him? C)Don is suspicious of Les Goodman.What do Steve’s reactions to Mrs. Goodman and Charlie show the reader about Steve? D) Steve is sensible and unafraid.How does Woman One’s claim about Les Goodman affect other elements in the story? B)The neighbors become even more suspicious of Les Goodman.12. The number of mold spores in the school bathroom sink started at 4. The number of spores doubled every day. The equation f(x)=4•2^x models the situation. How many mold spores will
there be after 6 days?
spores
Answer: i dony know honestly
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
If you start off with 4 and it doubles every day, by day two you would have 8 spores then by day three you will have 16 because it doubles itself. Day four you have 32, day 5 you will have 64 and finally day 6 you will have 128
Tim knows that he can travel a distance of 240 miles when his car’s gas tank is filled to its capacity. The capacity of his car’s gas tank is 12 gallons. Which best describes the domain of the function? only integers where 0 ≤ d ≤ 12 only integers where 0 ≤ , d , ≤ 12 only integers where 0 ≤ d ≤ 240 only integers where 0 ≤ , d , ≤ 240 all real numbers where 0 ≤ d ≤ 12 all real numbers where 0 ≤ , d , ≤ 12 all real numbers where 0 ≤ d ≤ 240
Answer:
tell tim to ask jeff bezoz for his oil so he wont need to solve hard math equations everytime
Step-by-step explanation:
go to his house and ask him to pay
How can you write an equation to solve a problem?
(written response)
( 20 points)
Answer:
if you have a specific math problem i can help you with it!
Step-by-step explanation:
you essentially translate the words into math. for example if the problem says something like "he has 5 more pieces of candy than her" you would set a variable, in this case "x," and set it up like this.
since "her" is the original amount, we'd do it like this:
her = x
he = x+5
then, we'd figure out what these values have to equal to. let's say there are 9 total pieces of candy. so this is how we'd do it:
(x)+(x+5)=9
now we solve:
2x+5=9
2x=9-5
2x=4
x=2
hope this somewhat helped! if you have more questions, feel free to ask me!
will someone please check my work? is this answer correct? reply asap :)
the answer is altitude because of the segment
Answer:
perpendicular bisector
Step-by-step explanation:
A line that is both perpendicular to a segment and cuts it in half , as is the case here is a perpendicular bisector
A washing machine is filling up with water at a constant rate. The rate is Three-fourths of a gallon in StartFraction 1 over 5 EndFraction of a minute. Don calculated the unit rate to be StartFraction 3 over 20 EndFraction of a gallon per minute. What did he do wrong?Jonah bicycled 12 miles in 4 hours. What is the unit rate?
Answer:
3/4 in 1/5 of 60 sec
1/5*60=12
3/4 in 12 seconds
3/4*5=15/4=3 3/4
He multiplied 3/4 by 1/5 instead of by its reciprocal , 5.
12/4=3
3 mph
Answer:
3/4 in 1/5 of 60 sec
1/5*60=12
3/4 in 12 seconds
3/4*5=15/4=3 3/4
Step-by-step explanation:
Solve: 5/2x - 1/3= -1/2
A. x=-5/12
B. x= -25/12
C. x= -1/15
D. x= 1/3
Answer:
c. x = -1/15
Step-by-step explanation:
5/2x - 1/3 = -1/2 [multiply the whole equation by 6 (lowest common denom)
15x - 2 = -3 [add 2 on both sides of equation
15x = -1 [divide both sides by 15 to isolate x]
x = -1/15
I need help I will mark brainliest for the first and best answer
Answer: 10 units
Step-by-step explanation:
The k-value of an expression represents the vertical shift. In this case, the k value is 10. Thus, the vertical shift is 10 units.
3/4 c - 7/12 + 7/24 c + 2/3 - 1/6 c
Answer:
c+1/12
Step-by-step explanation:
18/24c-7/12+7/24c+8/12-4/24c=c+1/12
Answer:
(7/8)c
Step-by-step explanation:
The LCD here is 24. Multiply all five terms by 24 and then divide the sum of the five results by 24:
18c - 14 + 7c + 16 - 4c 21c
-------------------------------- = --------------
24 24
Dividing both 21 and 24 by 3, we get the fully reduced form 7c/ 8 = (7/8)c
Which of the following are solutions to the equation below?
Check all that apply.
9x2 - 6x + 1 = 7
Answer:
Apply quaratic equation
The distance from Matt’s home to school is 5/8 of a mile. He has biked 3/8 of a mile. How much further does he have to bike?
Given:
The distance from Matt’s home to school is [tex]\dfrac{5}{8}[/tex] of a mile.
He has biked [tex]\dfrac{3}{8}[/tex] of a mile.
To find:
How much further does he have to bike?
Solution:
We have,
Total distance from Matt’s home to school = [tex]\dfrac{5}{8}[/tex] of a mile.
Distance covered = [tex]\dfrac{3}{8}[/tex] of a mile.
Remaining Distance = [tex]\dfrac{5}{8}-\dfrac{3}{8}[/tex] of a mile
= [tex]\dfrac{5-3}{8}[/tex] of a mile
= [tex]\dfrac{2}{8}[/tex] of a mile
= [tex]\dfrac{1}{4}[/tex] of a mile
Matt has [tex]\dfrac{1}{4}[/tex] mile left to bike.
Therefore, the correct option is A.
please help me on this!
Answer:
(a.) B: 8,000
(b.) C: 800
(c.) A. 10 times
Step-by-step explanation:
8762 has 3 digits after the 8. 8,000 has 3 digits after the 8
851 has 2 digits after the 8. 800 has 2 digits after the 8.
8,000 ÷ 800 = 10
Another way to do it is: 8000 has 3 zeros and 800 has 2 zeros.
3 - 2 = 1. 10 has 1 zero.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
An ant carries food at a speed of 0.01 m/s. How long will it take the ant to carry a cookie crumb to the ant hill, a distance of 50 m? Express your answer in hours.
Answer:
5000 seconds
Step-by-step explanation:
0.01*100=1
100*50=5000
Answer:
about 1.4 hours
Step-by-step explanation:
1 * 50 / 0.01 = 5,000
5,000 / 60 = 83.3 ---> 83.8 / 60 = 1.4
The weight of an object on Mars varies directly with its weight on Earth.An object that weighs 50 pounds on mars weighs 150 on Earth.If an object weighs 120 pounds on Earths,write and solve a direct variation equation to find how much an object would weigh on mars.
Answer:
Formula: y = x/3. Answer: 40 pounds.
Step-by-step explanation:
To solve this, we divide 150 by 50. This gets us 3. This means your weight on Earth is 3x your weight on Mars. That means we can make a formula. Our formula is y (weight in pounds on Mars) = x (weight in pounds on Earth)/3. Let's plug 120 in our formula. 120/3 is 40. This means the weight of the object on Mars is 40 pounds.
Jim runs 10 yards, then turns 180 degrees and runs 10 more yards. After repeating the turn and run two more times, he ends up 25 yards away from where he started. How?
Answer:
The answer would be 45
Step-by-step explanation:
what is x if: 5÷x=30
Answer:
x = 1/6
Step-by-step explanation:
Rewrite the equation to get 5/x = 30. Multiply x on both sides to get 5 = 30x. Then divide 30 on both sides to get your x value which is 1/6.
Answer:
x= 1/6
Step-by-step explanation:
multiply both sides by x
divide both sides by 30
simplify 5/30 to 1/6
Which equation best represents the best relationship between x and y in the graph?
The area of a rectangle can be found by multiplying the length times the width. Which of the following is an algebraic representation of this?
3LW
L + W
LW
3L + 3W
Answer:
I believe the correct answer is the 3rd one. L(W).
Answer:
LW
Step-by-step explanation:
Just put the answer A B C D please
Answer:
B
Step-by-step explanation: