Answer:
2.25
Step-by-step explanation:
2/5 is equal to 4/10
(9/10)/(4/10)
(9/10)*(10/4)
90/40
9/4 = 2.25
(Can be checked if you multiply 4 by 2.25)
The principal amount, $4200, earns 3.6% interest compounded monthly.
a. Write the function that represents the value of the account at any time, t.
b. What will the value be after 10 years?
Answer:
a)
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where
P represents the principal amount
r represents Annual Rate
n represents the number of compounding periods per unit t, at the end of each period
t represents the time Involve
b) What will the value be after 10 years?
Given
The principal amount P = $4200
Annual Rate r = 3.6% = 3.6/100 = 0.036
Compounded monthly = n = 12
Time Period = t
To Determine:
The total amount A = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}[/tex]
[tex]\:A\:=\:4200\left(1.0025\right)^{120}[/tex]
[tex]A=5667.28[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
For each line, determine whether the slope is positive, negative, zero, or undefined.
e) Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. graph the function in part e
Answer:
It will equal 0
a number is five less than 3 time another number use x for the variable HURRY
Answer:
10, it's 5 less than 5 times 3
Step-by-step explanation:
please help me......
Answers:
x = 5
y = -5
==================================================
Work Shown:
3x + 2y - 5 = 0
3(y+10) + 2y - 5 = 0 ... replace x with y+10
3y+30+2y-5 = 0 .... distribute
5y+25 = 0
5y = -25 .... subtract 25 from both sides
y = -25/5 .... divide both sides by 5
y = -5
Use this y value to find x
x = y+10
x = -5+10
x = 5
------------------
As a way to check, plug these x and y values into the first equation
3x + 2y - 5 = 0
3(5) + 2(-5) - 5 = 0
15 - 10 - 5 = 0
5 - 5 = 0
0 = 0
This confirms the first equation and helps confirm our answers.
need help asap please
The angle BCD = 120°
Further explanationGiven
A parallelogram and four angles
Required
Angle BCD
Solution
In A parallelogram
The sum of the four angles is 360°
Opposite angles are equal /congruent(A=C, B=D)
Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).
We choose a solution by using
Consecutive angles :
∠C+∠B=180°
18x=180°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
Or we can use another ways :
The sum of the four angles is 360°
∠A+∠B+∠C+∠D=360°
12x+6x+12x+6x=360°
36x=360°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
When Sarah divided a number by 5, the quotient was 247 with a remainder. What is one possible dividend? With a complete sentence, explain how you found the dividend.
Answer:
One possible dividend is 1,237
Step-by-step explanation:
One possible dividend will be 1,237
This is because of we multiply 247 by 5, we get 1,235 and we can add 2 so we can have remainder 2
The difference between the next factor of 5 and the last one which has 247 as the multiple of 5 is 5
So adding 1,2,3 and 4 to the product will give a number that is not up to the next multiple of 5 and thus we can have our dividend with the remainder
. Taylor made gallons of fruit punch. What is the total number of 8-fluid-ounce cups of punch that Taylor made?
This question is incomplete
Complete Question
Taylor made 2 1/2 gallons of fruit punch. What is the total number of 8-fluid-ounce cups of punch that Taylor made?
Answer:
40
Step-by-step explanation:
Step 1
Let's convert the gallons to fluid ounces
1 gallon = 128 fluid ounces
2 1/2 gallons = x
Cross Multiply
x = 2 1/2 gallons × 128 fluid ounces
x = 320 fluid ounces
2 1/2 gallons of fruit punch = 320 fluid ounces of fruit punch.
Step 2
The total number of 8-fluid-ounce cups of punch that Taylor made is calculated as:
8 fluid ounce = 1 cups
320 fluid ounces = x
Cross Multiply
8x = 320
x = 320/8
x = 40
Hence, the total number of 8-fluid-ounce cups of punch that Taylor made is 40
need some help...........
Answer:
The answer is to the question is 13
factor 8x+48y using gcf
The greatest common factor of the expression will be 8( x + 6y).
What is the greatest common factor?The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero.
The given expression is 8x+48y. The greatest common factor will be calculated as,
E = 8x+48y
E = 8(x +6y)
Therefore, the greatest common factor of the expression will be 8( x + 6y).
To know more about GCF follow
https://brainly.com/question/219464
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If a car is traveling 75 miles per hour, how many feet will it travel in 10 seconds?
Answer:
Step-by-step explanation:
speed=75 miles per hour
[tex]speed=\frac{75 \times 1760 \times 3 }{3600 } =110 ~ft~/ ~s[/tex]
distance covered in 10 seconds=110×10=1100 ft
Answer:
We will use this equation to solve this question: Distance = Speed/Time
Distance = 75 x 5280
3600
We are multiplying 75 by 5280 because we want to convert miles to feet. Then, we divide it by 3600, which is equivalent to an hour.
Distance = 396,000
3600
= 110 Feet
Therefore, the car will travel 110 feet in 10 seconds.
12) Why doesn't SSA prove two triangles are congruent? *
The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6), what are the coordinates of B?
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}[/tex]
Step-by-step explanation:Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-
[tex]\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}[/tex]
Let the co ordinates of B be (x , y ) .
Now , on substituting the respective values ,we have :-
[tex]\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}[/tex]
[tex]\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}[/tex]
Hence the value of x coordinate is (-1) and y - coordinate is (-8) .
Hence the coordinate of B is (-1,-8)Food World sells a 6 lb. bag of potatoes for $5.70. Which of the following is NOT an equivalent price per pound of potatoes?
A 7 lb. bag for $6.65
B 20 lb. bag for $19.00
C 16 lb. bag of $14.45
B 9 lb. bag for $8.55
Melissa makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours
Answer:
8 x h= p
Step-by-step explanation:
You see 8. That is the amount she is getting paid for each hour.
p is how much is paid totally after working a certain amount of hours
h represents how many hours she works.
8 dollars times the amount of hours she works(h) would equal p, the total amount she is paid
I really hope this helped~~
Solve by using substitution. Express your answer as an ordered pair.
{2x + y = 1
{y = x -5
Answer:
All the best this is the answer
2x+y=1
y=x-5
substitute: y=x-5 in 2x+y=1
2x+x-5=1
2×+x=1+5
2x+x=6
3x=6
x=6/3
x=2
finding y:
substitute x=2 in 2x+y=1
2×2+y=1
4+y=1
y=1-4
y=-3
so(2,-3) is the answer
VERY URGENT
ALCULATOR
COLOR THEME
11
D) SPEAK OPTIO
1. The height of a cylinder is 6 centimeters. The
circumference of the base of the cylinder is 187. Solve
and explain how you would find the measurement of
they cylinder's volume in cubic centimeters. Be specific,
include any formulas you will need, identify the
components of the cylinder, explain whether you need
to round, and do not forget to include units of
measurements.
Academic Vocabulary:
height cylinder base
pi substitute volume
formula round
area
radius circumference
cubed squared
Answer:
16,713.4 cc
Step-by-step explanation:
You are given the height (6) and circumference (187) and the formula for the volume of the volume of a cylinder is [tex]\pi *r^{2} *h[/tex]. You first need to find the radius of the cylinder using the equation [tex]C=2\pi r[/tex]. Doing so, you get 29.76 cm for the radius. After this, you plug in 29.76 and 6 into the equation to get 16,713.4 cc.
Can you answer this?
27
5
Y=5x+27
Here ya go
Find the semi perimeter of a triangle with sides 9cm 12 cm and 30 cm
Answer:
25.5 cmStep-by-step explanation:
[tex]s = \frac{a + b + c}{2} [/tex][tex] = \frac{9 + 12 + 30}{2}cm \\ = \frac{51}{2}cm \\ 25.5cm[/tex]
PLEASE HELP!
ROAD SIGNS Roadway signs such as the one shown are used to warn drivers of an upcoming steep down grade. What is the grade, or slope, of the hill described on the sign?
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
8% = 0.08 = [tex]\frac{2}{25}[/tex]
25% of 96 is what number round to the nearest tenth of necessary
Answer:
y = .25 x 96
y = 24
This is the answer.
Step-by-step explanation:
25% is the same as 0.25
25% = 25/100 = 0.25
Multiply 0.25 with 96
0.25 x 96 = 24
24 is your answer
hope this helps
Graph the equation 4x+9-3/5=10xy^3-49. Then solve for the square root of x
Answer: 4x+9-3/5=10xy^3-49
Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0
STEP
1
:
Equation at the end of step 1
3
((4x + 9) - —) - ((2•5xy3) - 49) = 0
5
STEP
2
:
3
Simplify —
5
Equation at the end of step
2
:
3
((4x + 9) - —) - (10xy3 - 49) = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
4x + 9 (4x + 9) • 5
4x + 9 = —————— = ————————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4x+9) • 5 - (3) 20x + 42
———————————————— = ————————
5 5
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = √47
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We have a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 5
Leg b = x
Hypotenuse c = √72
Step 3: Solve for x
Substitute [PT]: 5² + x² = (√72)²Exponents: 25 + x² = 72Isolate x term: x² = 47Isolate x: x = √47Two angles are complementary. The smaller angle is less than the larger angle. What is the measure of the larger angle
HELP ASAP!!!!!!!! PLSSSSSSS HURRY!!!
Consider the function f(x) = 6 sine (x minus StartFraction pi Over 8 EndFraction) + 8. What transformation results in g(x)6 sine (x minus StartFraction 7 pi Over 16 EndFraction) + 1?
A.) Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units up.
B.) Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units up.
C.) Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units down.
D.) Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units down.
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
used graphing calculator
There is a deck of 20 picture cards that contain 5 birds, 5 lions, 5 frogs, and 5 monkeys. What is the probability that the first card drawn shows a bird and the second shows a monkey
OPEN ENDED QUESTION -6(7)
Answer:
-42
Step-by-step explanation:
reason: because on the left we have negative six and on the right we have positive 7, so what is the equation? well it would be -6 x 7 because if a number is in these () it means you multiply
Under his cell phone plan, Elijah pays a flat cost of $64.50 per month and $5 per gigabyte. He wants to keep his bill at $87.50 per month
6(3x +5 ) = 7(2x +2)
Answer:
I answered ur question answer is x=-4
Maya flipped a coin 50 times. How many times should she expect the coin to land on tails?
Answer: It's a 50% chance (25 times)
Reason: It's Statically proven that if there are two things you are comparing, and are trying to flip (Like a coin) There's a fifty percent chance of flipping to that side. Thus having this information, you will land on tails 25 times statically.
I hope this helps, and Happy Holidays! :)