Answer:
It would take 6 years for the value of the account to reach $5,920
Step-by-step explanation:
Principal Amount = $4900
Interest rate r = 3% = 0.03
Compounded monthly = n=12
Time t =?
Future Value = $5920
We can find time using formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and solving:
[tex]A=P(1+\frac{r}{n})^{nt}\\5920=4900(1+\frac{0.03}{12})^{12t} \\5920=4900(1+0.0025)^{12t}\\5920=4900(1.0025)^{12t}\\\frac{5920}{4900}= (1.0025)^{12t}\\1.21=(1.0025)^{12t}[/tex]
Applying exponent rule; [tex]a=b^c\\c\:ln(b)=ln(a)[/tex]
[tex]12t\:ln(1.0025)=ln(1.21)\\12t\:(0.00249)=0.19062\\t=\frac{0.19062}{12*0.00249}\\t=6.3\approx6[/tex]
So, It would take 6 years for the value of the account to reach $5,920
HELP ME SOLVE THIS PLEASE! I WILL GIVE BRAINLYEST
Answer:
Step-by-step explanation:
y keeps adding 6 while x keeps adding 3
A map has a scale of 288 mi to the
inch. How far apart on the map are two cities that, in
reality, are 2016 mi apart? How far apart in reality are
two cities that are 8 in. apart on the map?
The scale of a map is 288 miles per inch. On the map, how far away are two cities that are actually 2016 miles apart? Two cities that are 8 inches apart on a map, how far apart are they in reality?
7 miles per inch far away are two cities that are actually 2016 miles apart and 1.142 miles per inch far away the two cities that are 8 inches apart on a map.
Let us take First two cities as A and B and the next two cities as C and D.
Now,
City A and City B are separated by 288miles per inches.
In reality, the two cities are separated by 2016 miles.
[tex]=\frac{2016}{288}=7[/tex]
The scale on the map for cities A and B is: 7
The same map, however,
what would be the separation between cities C and D,
the true distance between two cities, which is 8 miles.
This issue can be resolved with a proportion.
=[tex]\frac{288}{2016}\times 8[/tex] miles
=[tex]\frac{288\times8}{2016}[/tex] miles
=1.142 miles
Therefore, on the map, 7 miles per inch far away are two cities(A and B) that are actually 2016 miles apart and 1.142 miles per inch far away the two cities(C and D) that are 8 inches apart on a map.
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THIS IS DUE TOMORROW HELP PLSSS
Name 3 Rectangular Items that are something you can hold. And then name those items' Length, Width, Height, Area, or Volume.
I can't grab rectangular items since I'm doing this at night.
Answer explanation:
1. My Amazon package is 28 inches in width, 18 inches in height, and 40 inches in length. The volume is 20,160.
Volume= Length x Width x Height
2) In A ABC , if LA = 60° , LB = 450 then find tc.
In ∆ABC,
Angle A = 60°
Angle B = 45°
To Find:The measurement of Angle C.
We know that the sum of all the interior angles of a triangle is 180°.
Explanation:Angle A + Angle B + Angle C = 180°
By putting the respected values, we get
60° + 45° + Angle C = 180°
or, 105° + Angle C = 180°
By transposition method, we get
Angle C = 180° - 105°
Angle C = 75°
Answer:The measurement of Angle C is 75°
8 1/4 hours of work for a total pay of $99.00 What is the unit rate :)
Answer:
$12 per hour
Step-by-step explanation:
8.25 hours for $99
99/8.25 = 12
$12 per hour
What is the area of ABC? Round to the nearest tenth of a square unit.
Answer:
I can't see the photo very well.
Red is a very popular car color. A production company manufactures cars and parks them in
a lot behind the plant. There are 800 cars in the parking lot and 80% of them are red. How
many red cars are in the parking lot?
Answer:
640 red cars.
Step-by-step explanation:
Just search up 80 percent of 800.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
At the mini-mart, Kathy spent $1.39 for a muffin, $2.99 for milk, and $0.99 for a bag of chips. About how much did he spend?
$5.00
$3
$4.00
$5.37
Answer:
$5.37
...............
How to attach multiple photos?
Answer:
click the paperclip
Step-by-step explanation:
you can click the paperclip and paste multiple pictures
What is the equation in standard form of the line y - 5 =
5=(x + 6)?
2y-10=3x + 18
2y = 3x + 28
3x - 2y = -28
3x = 2y - 28
Answer: 5(2x + 3). = 2x2 + 3x − 10x − 15 ... 5. Expand. 1. 2. (2y – 8). 6. Expand and simplify. ... 28 g. 72 h. 162. 2. Simplify. a. +. 72. 162 b. −. 45 2 5.
Step-by-step explanation:
Name the function family that each graph best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answer:
7. Absolute Value
8. Exponential
9. Quadratic
10. Linear
11. Logarithmic
Laura has 1425 dollars in her bank account this amount reflects a 14% increase what was her original amo
Y - 58 = -43
Helppppp
Answer:
y = 15
Step-by-step explanation:
y - 58 = -43
add 58 to both sides
y = 15
Answer:
y = 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
y - 58 = -43
Step 2: Solve for y
Add 58 on both sides: y = 15Step 3: Check
Plug in y into the original equation to verify it's a solution.
Substitute in y: 15 - 58 = -43Subtract: -43 = -43Here we see that -43 does indeed equal -43.
∴ y = 15 is the solution to the equation.
Need answer asap........
Answer:
So you need to use PEMDAS, Mom is correct but the dad is not correct
Step-by-step explanation:
He needed to subtract before he added, basically from left to right first come first serve.
2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
Let's solve:
[tex]2(2−2x)=−3x[/tex]
Step 1: Simplify both sides of the equation.
[tex]2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x[/tex]
Step 2: Add 3x to both sides.
[tex]−4x+4+3x=−3x+3x \\ −x+4=0[/tex]
Step 3: Subtract 4 from both sides.
[tex]−x+4−4=0−4 \\ −x=−4[/tex]
Step 4: Divide both sides by -1.
[tex] \frac{ - x}{ - 1} = \frac{ - 4}{ - 1} [/tex]
Therefore, the answer will be x = 4.
what is the opposite integer -6
The absolute value of a number is the distance of the number from zero without regard for the sign. Note that for negative numbers the opposite and absolute values are identical
So your answer is basically 6
During her senior year, Courtney took both the SAT and ACT. She scored 680 on the SAT math test and 27 on the ACT math test. Scores on the math section of the SAT vary from 200 to 800, with a mean of 528 and standard deviation of 117. Scores on the math section of the ACT vary from 1 to 36, with a mean of 20.5 and a standard deviation of 5.5.
Calculate Courtney's standardized score (z-score) on each test. Which of her two test scores was better, relatively speaking? Explain your reasoning.
Her z-scores are given as follows:
SAT: 1.30.ACT: Z = 1.18.Due to the higher z-score, she was relatively better on the SAT.
What is the z-score formula?The z-score of a measure X of a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For the SAT test, the parameters are given as follows:
[tex]X = 680, \mu = 528, \sigma = 117[/tex]
Hence her z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (680 - 528)/117
Z = 1.30.
For the ACT test, the parameters are given as follows:
[tex]X = 27, \mu = 20.5, \sigma = 5.5[/tex]
Hence her z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (27 - 20.5)/5.5
Z = 1.18.
Due to the higher z-score, she was relatively better on the SAT.
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Select the correct answer.
Which equation describes the line graphed above?
Answer:
d
Step-by-step explanation:
what is the measure of DE?
Answer:
C: 41°
Step-by-step explanation:
ACB ≅ BDE
Find the total amount due on a loan of $5,000 for 8 years at 10% simple interest.
$4,000
$5,500
$9,000
$9,500
$5,400
Simplify the expression to a polynomial in standard form:
(3x + 1)(2x2 + 9x + 6)
48 less than twice a number
Answer:
2x - 48
Step-by-step explanation:
If it is 48 less, then it is -48. Next is 2x because it is twice a number.
Select the correct answer. 3 A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
a. y = 3/2x - 12
b.y=3/2x+12
c.y=2/3x-12
d y=-12x-3/2
Answer:
a. y = 3/2x - 12
Step-by-step explanation:
Slope is y = mx + b
Slope or m = 3/2
y-intercept or b = -12
Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12
Help please!!!!!!!!!!
Answer:
y= -1/5x+3
I hope that this helps! :)
There are 13 boys and 18) girls in the cafeteria.
How many less boys are in the cafeteria?
Answer: 5 less boys in the cafeteria then girls.
Step-by-step explanation:
18-13=5
18=girls
15=boys
5=less boys
kinda just basic subtraction.
HELL DONT TELL ME BS
DONt
Answer: D , see below
Step-by-step explanation:
remember the power rules
(a^b)^c= a^(b*c)
answer is(10^10)(7^25) is choice D
Answer:
THe answer is d
Diego tried to solve the equation 13(x+15)=3
Answer:
x=0.107
Step-by-step explanation:
First we distribute 13 to x and 15. That gives us 13x+15x=3. Now we add 13x and 15x, that gives us 28x=3. Now we divide by 28 on both sides. That gives us x=0.107
Look at the planes ABCD and EFGH shown below. The two planes intersect along which of the following lines?
Answer:
where is the Image to show it?
Weight is a measure of force affected by gravity. The Moon’s gravity is less than Earth’s gravity, so objects weigh less on the Moon than on Earth.
How much do you think a cat will weigh on the Moon? Explain your reasoning.
9514 1404 393
Answer:
about 1.5 pounds
Step-by-step explanation:
The moon's gravity is about 1/6 that of Earth, so a 9-lb cat would weigh about 9/6 = 1.5 pounds on the moon.
An airplane is preparing to land at an airport. It is46,400 feet above the ground and is descending at the rate of3,100 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
The time when the two airplanes would have the same altitude is 8 minutes. The altitude would be 21,600 feet.
What is the altitude?The equation that can be used to represent the altitude of the descending plane is: feet above the ground - (rate of descent x number of minutes)
46,400 - (3100 x t)
The equation that can be used to represent the altitude of the ascending plane is: rate of ascent x number of minutes
2700 x t
Where t is the number of minutes
When both airplanes are of the same altitude, the above equations will be equal: 2700t = 46,400 - 3100t
In order to determine the value of t, take the following steps:
Combine similar terms: 2,700t + 3,100t = 46,400
Add similar terms : 5,800t = 46,400
Divide both sides by 5,800 : t = 46,400 / 5,800
t = 8 minutes
Altitude = 2700 x 8 = 21,600 feet
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