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Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?

Answers

Answer 1

Answer:

10 years

Step-by-step explanation:

Simple interest formula:

AV=PV(1+it)

13200=8000(1+.065t)

1.65=1+.065x

.65=.065x

10=x


Related Questions

remove the largest common factor. check your answer by multiplication.
21x^5+14x^3-35
Factor out the greatest common factor.

Answers

We can see : 21,14,35 have the common factor of 7
Therefore :
7(3x^5+2x^3-5) is the correct answer
We can’t factor x because 35 does not have any x
21x⁵+14x³-35

Most common is 7

So

7(3x⁵+2x³-5)

Use distributive law to verify

21x⁵+14x³-35

Verified

GCF is 7

Use the functions and the scenario to solve the problem.

f(x)=1/2x+6
g(x)=x−3

Shiloh and Leanne are asked to evaluate f(x)−g(x).

Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.

Leanne suggests f(x)−g(x)=(1/2x+6)−(x−3)=−1/2x+9.

Evaluate each student's answer.

Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work

Answers

Answer:

Leanne is correct. It is important that g(x) is subtracted from f(x).

Shiloh is incorrect. She subtracted f(x) from g(x), and subtraction isn't commutative.

*Just took the test, got the answer correct!! Hope this helps!

Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
If Andre collects $9.80, how many cups did he sell?
How much money did it cost Andre to make this amount of lemonade?
How much money did Andre make in profit

Answers

Answer:

18 cups of lemonade

Step-by-step explanation:

so if it cost him $0.15 to make each cup of lemonade and he sold a cup for $0.35 then he sold 18 cups

Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent this situation

Answers

The exponential function that represents the future value of the investment is $300(1.04)^t.

What is the exponential function?

The exponential function that can be used to determine the future value of the investment is:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

$300(1.04)^t.

Where t represents number of years

To learn more about future value, please check: https://brainly.com/question/18760477

VI. Pretend that you are working for the tourist bureau for your city. Which measure of central tendency (mean, median, mode) would you use in advertising to attract tourists. Justify your answer.

Answers

The mean of the data set can be used because it is not easily affected by extreme values.

What is a measure of central tendency?

A measure of central tendency is a measure that tries to describe an entire data set by using the central value of the data.

Mean is often used as a measure of central tendency when dealing with a large data such as tourism in the city because it is not easily affected by extreme values.

Learn more about mean: https://brainly.com/question/14882017

Solve for x to the nearest tenth.
BRANLIEST AND 45 POINTS!!

Answers

Check the picture below.

Solve this system of equations:

y = x2 – 3x + 12

y = –2x + 14

1.Isolate one variable in the system of equations, if needed.

y = x2 – 3x + 12

y = –2x + 14

2.Use substitution to create a one-variable equation.

–2x + 14 = x2 – 3x + 12

3.Solve to determine the unknown variable in the equation.

What are the values of x?

{–2, 1}
{–2, 4}
{–1, 2}
{–1, 4}

Answers

Answer:

C. { - 1, 2}

Step-by-step explanation:

The first two steps solved and the last step to be performed

Solve the quadratic equation

x² - 3x + 12 = - 2x + 14x² - 3x + 2x + 12 - 14 = 0x² - x - 2 = 0x² - 2x + x - 2 = 0x(x - 2) + (x - 2) = 0(x - 2)(x + 1) = 0x - 2 = 0 ⇒ x = 2x + 1 = 0 ⇒ x = - 1

The solution is:

{ - 1, 2}

Correct choice is C

Solving from step 3

-2x+14=x²-3x+12x²-3x+2x-2=0x²-x-2=0(x-2)(x+1)=0x=2 or -1

Option C

NEED HELP 100 POINTS TO ANSWER ALL THREE QUESTIONS PLEASE


1. A rectangular prism has a length of 20 in, a width, of 2 in, and a height of 3 ¼ in. What is the volume of the prism? Question 1 options:

V = 25 ¼ in³
V = 130 ¼ in³
V = 120 ¼ in³
V = 130 in³




2. What is the volume of a box that measures 4 ft. long, 2 ½ ft. wide, and 2 ft. tall?

Question 2 options:

V = 16 ½ ft. ³


V = 20 ft. ³


V = 40 ft. ³

V = 8 ½ ft. ³





3. Find the volume of a right rectangular prism with the measurements: length is 5/4 in, width is 2 in, and height is 4 in.

Question 4 options:

V = 40 in³


V = 2 3/4 in³


V = 11/4 in³


V = 10 in³

Answers

Answer:

1. V = 130 in³

Step-by-step explanation:

1. You can find the volume of a rectangular prism with this formula:

( l • w )h

(20 • 2)3 1/4

=

130

And then add the label in³

Answer:

2. V = 20 ft³

Step-by-step explanation:

2. A box is the same as a rectangular prism.

Use the same formula to find the answer.

(4•2 1/2)2

=

20

And then add the label ft³

Answer:

3. V = 10 in³

Step-by-step explanation:

3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.

5/4 = 1 1/4 or 1.25

(1.25 • 2)2

=

10

And then add the label in³

PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!

Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18

Answers

Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

I am 1,000 times as big as a gram what am i

Answers

Answer:

One Kilogram

Step-by-step explanation:

1kg = 1000g

Answer:

Kilogram

Step-by-step explanation:

Reflection across the line y=2 (1,4) (4,4) (1,2) (3,2)

Answers

Answer:

A(0,1) B(0,4) C(1,2) D(3,2)

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 12-member student council. How many different committees can be chosen?

Answers

Answer: 4 committees

Hope this helps! :)

I need brainliest please.

Which term describes an idea or a feeling suggested by a word?

Answers

Answer: connotation

Step-by-step explanation: everything that a phrase or item implies: the comfort connotations that surrounded that old chair.

I only need help on this one Geometry question! Please help! I will give 30 points.

Do not round, enter full answer. No units of measure just the number. A cone shaped funnel has a diameter of 4.8 inches and a height of 4 inches. What is the volume of the funnel? Use 3.14 for pi. Enter your answer as a decimal, in the box.

Answers

Use the formula 1/3 * height * pi(3.13) * radius squared

1/3 * 4 * 3.14 * 2.4^2 = 24.1152

picture explains
asdasdasd

Answers

Answer:

Yes, AB is tangent

Step-by-step explanation:

The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.

Use Pythagorean to verify

20² = 16² + 12²400 = 256 + 144400 = 400

Confirmed

Answer:

AB is tangent to the circle

Step-by-step explanation:

The tangent of a circle is always perpendicular (at a right angle) to the radius.  Therefore, if AB is the tangent to the circle, the angle between the radius and AB will be 90° (and ΔBAO will be a right triangle).

Pythagoras Theorem

  [tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangle

Given:

a = 12b = 16c = 20

Substitute the given values into the formula:

[tex]\implies 12^2+16^2=20^2[/tex]

[tex]\implies 144+256=400[/tex]

[tex]\implies 400=400[/tex]

Therefore, as ΔBAO is a right triangle with ∠BAO = 90°, AB is tangent to the circle.

HELP ASAP! GIVING BRAINLIEST TO BEST ANSWERS FOR THESE 2 QUESTIONS!

Answers

Answer:Option AOption DSolution:In order to multiply fractions, we should multiply the numerator of the first fraction times the numerator of the second fraction, like so:3•5=15Do the same with the denominator:10•7=7015/70 is the answer.Same with the other fractions:7•2=1410•4=40Hence, 14/40 is the answer.

Hope it helps.

Do comment if you have any query.

Let's start off with  1. 3/10 * 5/7

3/10×5/7=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(3×5) / (10×7) = 15 / 70

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 70 using

GCF(15,70) = 5

(15÷5)/ (70÷5)=3/14

Therefore:

3/10×57=3/14

Now, #2. 7/10 * 2/4- We do the same process.

7/10×2/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(7×2) / (10×4)=1440

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 40 using

GCF(14,40) = 2

(14÷2) / (40÷2) = 7/20

Therefore:

7/10×2/4=7/20

Hope this helps!

Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football​

Answers

I believe the answer is football.

here are 16 sweets in a bowl.
4 of the sweets are blackcurrant.
5 of the sweets are lemon.
7 of the sweets are orange.
unna, Ravi and Sam cach take at random one sweet from the bowl.
Jork out the probability that the 5 lemon sweets are still in the bowl.

Answers

Answer:

61/112.

Step-by-step explanation:

For 5 lemon sweets to be in the bowl the 3 taken  must be from the 4 blackcurrent and/or 7 orange sweets.

First work out the probability of having a lemon in one of the 3 picks:

Prob (Taking 3  lemons) = 5/16 * 4/15* 3/14 =  60/3360 = 1/56.

Prob (Taking 2  lemons and 1 blackcurrent) = 5/16*4/15*4/14 =  1/42

There are 3 ways of doing this so Probab) = 3/42 = 1/14.

Prob (Taking 1  lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.

There are 3 ways of doing this so Prob = 3/56.

Prob (Taking 2  lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.

There are 3 ways of doing this so Prob) = 3/24 = 1/8.

Prob (Taking 1  lemon and 2 orange) = 5/16*7/15*6/14 =  1/16

There are 3 ways of doing this so Prob = 3/16.

Therefore the probability of have 1 or more lemons in one of the 3 picks

= 1/56 + 1/14 + 3/56 + 1/8 + 3/16

=  51/112

and the probability of NOT having a lemon in one of the 3 picks

= 1 - 51/112

=  61/112.

fing the midpoint of A(1-4) and B(-2;-7)​

Answers

Hope this helps!!!!!

What is the missing number in 73, 67, 61,____, 49, _____, 37 A.55,42 b.55,43 c. 55, 32 D. 55, 34

Answers

Answer:

b) 55 and 43

Step-by-step explanation:

I can tell by the first 3 or so numbers that the sequence is decreasing by 6 each time, so when you go from 61- blank - 49 it has to be 55 and same with the other one.

Can you guys tell me what 6!/3!

Answers

[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]

Answer:

[tex]\boxed{\sf{120}}[/tex]

Step-by-step explanation:

Use the factorials formula.

Factorials formula:

[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]

→ 6!/3!=6*5*4

⇒ 6*5*4

Solve a order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

First, multiply.

→ 6*5*4

⇒ 6*5=30

⇒ 30*4=120

= 120

Therefore, the correct answer is 120.

I hope this helps you! Let me know if my answer is wrong or not.

are these answer correct?​

Answers

Answer:

yessir

Step-by-step explanation:

Please do number 5 thank you

Answers

Answer:

No, the mayor cannot conclude that 90% of residents favor the expansion.

Step-by-step explanation:

The sample taken is from the employees that will work on the highway, but we need to know the resident's opinion. The workers will have a different opinion than the average person, so this is not an accurate conclusion.

a certain number is added to 6 and then divided by 10. The result is 3. Find the number​

Answers

Answer:

let the number be x.

(x+6)/10 = 3

x+6 = 30

x =24

A website charges the same shipping fee on every order. The table shows the relationship between the cost of the items on the website, a, and the total cost including shipping, y. Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x +​

Answers

Answer:

Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x + 76

The volume of this right trapezoidal prism is 341.25 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.

Answers

Answer:10.5

Step-by-step explanation: I hope this helps

The height, x, of the right trapezoidal prism is 10.5 ft.

Given that, the volume of this right trapezoidal prism is 341.25 ft³.

We need to find the height x, of the prism.

What is the formula to find the volume of this right trapezoidal prism?

The formula to find the volume of this right trapezoidal prism is Volume=BH.

Where B=Area of the Base and H=Height.

Area of the Base(Trapezium)=1/2(a+b)×h

Where a and b are parallel sides of the trapezium and h= height of the trapezium.

Now, the area of the Base=1/2(8+5)×5=32.5 ft²

The volume of the right trapezoidal prism=32.5×x

⇒341.25=32.5×H

⇒x=10.5 ft

Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.

To learn more about the volume of the right trapezoidal prism visit:

https://brainly.com/question/27206909.

#SPJ2

The number 3 represents of the class.

Answers

Answer:

WE CANT ANSWER WITH THAT LITTLE OF INFORMATION

If a=9 and b=4, what is the value of 2a−b ?

Answers

Replace a and b with their values:

2(9) -4 = 18-4 = 14


answer: 14

Answer:

14

Step-by-step explanation:

2a - b

substitute the variables

2 × 9 - 4

18 - 4

14

Please help ASAP! 20 points!!

Answers

Answer:

They are increasing at the same rate.

Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make

Answers

Answer:

19 servings

Step-by-step explanation:

9 1/2 / 1/2 = 19

19

Step-by-step explanation:

one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19

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