If $5,000 is invested at 6% interest, how much money must be invested at 8% interest so that the total interest from the two investments is $660 after one year?

Answers

Answer 1

Answer:

$4500

Step-by-step explanation:

Simple Interest formula = Principal × Rate × Time

Let the amount of the money invested at 8% Interest = x

Hence:

$5000 × 6% × 1 + x × 8% × 1 = $660

$300 + 0.08x = $660

0.08x = $660 - $300

0.08x = $360

x = $360/0.08

x = $4500

Therefore , the amount that must be invested at 8% interest is $4500


Related Questions

What importance do fossils have to scientists?
A. Fossils are used to create cement, which is used to pave our roads.
B. Fossils provide information about the plants and animals that lived long ago and the nature of the environment at the time.
C. Fossils help keep the Earth's crust from shifting, which reduces the likelihood of earthquakes.
D. Fossils can help prove that aliens from other planets once lived on our Earth, but they all died from some catastrophic
event

Answers

Answer:

B is the answer.

Step-by-step explanation:

 

Jen deposited $750 in her savings account. The account earns 2% simple interest per year. She has the money in her account for 24 months. How much money did she earn in simple interest?

Answers

Answer: $30

Step-by-step explanation:

She has the money in her account for 24 months which is 2 years.

Simple interest is formula is:

A = P (1 + rate * no. of periods)

= 750 * ( 1 + 2% * 2)

= $780

She started with $750 and now has $780.

Earnings in simple interest :

= 780 - 750

= $30

Andy has three planks of wood. Two planks are each 1.5 m long. One plank is 2.5m long. What is the total length of all the three planks?

Answers

Given:

Two planks are each 1.5 m long.

One plank is 2.5m long.

To find:

The total length of all the three planks.

Solution:

Two planks are each 1.5 m long. So,

First plank = 1.5 m

Second plank = 1.5 m

One plank is 2.5m long. So,

Third plank = 2.5 m

Now, the total length of all the three planks is

[tex]\text{Total length}=\text{First plank + Second plank + Third plank}[/tex]

[tex]\text{Total length}=1.5+1.5+2.5[/tex]

[tex]\text{Total length}=5.5[/tex]

Therefore, the total length of all the three planks is 5.5 m.

Four deep-sea divers reported the depths they went below sea level on their last dive. Which depth is the farthest from sea level?​
A. -54
B.-80
C.-82
D.-67

Answers

Answer: C. -82

Step-by-step explanation:

-82 is the depth which is the farthest from sea level.

What is the depth of a sea?

The deep ocean is generally defined as the depth at which light begins to dwindle, typically around 200 meters (656 feet).

Given that, Four deep-sea divers reported the depths they went below sea level on their last dive.

The farthest point in sea among the given options, is -82, this is because, the distance down the sea is marked as a negative, and 82 is the greatest in the options, therefore, -82 is the greatest distance.

Hence, -82 is the depth which is the farthest from sea level.

Learn more about depth of the sea, click;

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Which statement accurately describes the combined
functions, P(x) and A(x)?
O P(x) has a constant rate of change, but A(x) does
not.
O A(x) has a constant rate of change, but P(x) does
not.
Both P(x) and A(x) have a constant rate of change.
O Neither P(x) nor A(x) have a constant rate of
change.

Answers

Answer: A

Step-by-step explanation:2020 edg

Answer: the answer is A

Step-by-step explanation:

just did it on edge

If you don’t mind have an explanation of the answer too :)


Write
68/50
as a percentage.

Answers

Answer:

136%

Step-by-step explanation:

Convert fraction (ratio) 68 / 50 Answer: 136%

Answer:

136%

Step-by-step explanation:

You just divide 68 by 50. Which will get you 1.2. The you multiply 100 by 1.36. So it becomes 136. Hope you understand :)

Find the indicated length.

Answers

Answer:

3rvf31he

Step-by-stececyeuoy

PLSSSS HELPPPPPP!!!!!

Answers

Answer: Gordon Types 74 words per minute

They type 74 words per minute hope this helped

Use the lattice method to multiply

Answers

Answer: Use the lattice method to multiple 54x 9

If it's 54 times 9 using the lattice method your Answer is:

54 times 9

is 486

Hope this helps..... Stay safe and have a great day!!! :D

 

What are the answers to the last two questions?

Answers

Answer:

Thanks for the points :3

help me please! thanks:)

Answers

Answer:

Question 1. 1st option

Question 2. 3rd option

Question 3. 3rd option

1. A. 6/15 and 10/15 it is the only one that makes sense
2.C. 6/10 simplified = 3/5 so 3-5 and 1/5
3.C. 12/100= 3/25 and 125/100= 5/4

Hope this helps

Have a great day

1) 4(p + 8) = 8p – 8(p – 6)

Answers

Answer:

4(p + 8) = 8p – 8(p – 6)

4p+32=8p-8p+48

4p=16

p=4

Answer: P=20

Step-by-step explanation:

Hope this helps ;)

Help me hurry please
Giving points

Answers

Increased:B,E
Decreased:A,D
Stayed the same:C
B and E increased. A and D decreased, and C stayed the same. :)

A curtain company has 1,787 yards of fabric to make identical curtains. If each curtain requires 6.5 yards of fabric, how many curtains can be made? a. 273 b. 274 c. 275 d. 276

Answers

Answer:

D. 274

Step-by-step explanation:

divide 1787 by 6.5 yds to get the answer, 274.

combine these like terms 4 girls + 2 girls - 3 boys

Answers

Answer:

6 girls - 3 boys

Step-by-step explanation:

Answer:

6girls - 3 boys

Step-by-step explanation:

4 girls + 2 girls =6 girls

you cant mix girls and boys so you still have 3 boys

After 6 months you have the same account balance as your friend and you have saved 280$. Write a linear equation that represents your account balance.

Answers

Answer:

y = 20x + 280

Step-by-step explanation:

The linear equation that represent your account balance is as follows:

Your friend

y = 25(6) + 250

= 400

And,

You

400 = m(6) + 280

6m = 400 - 280

6m = 120

m = 20

Now the equation of the account balance is

y = 20x + 280

Hence, the linear equation that represent your account balance is y = 20x + 280

Gina has 473 pieces of Legos. She wants to divide the legos into 6 groups and then give the leftover pieces to her friend. How many pieces of legos will Gina's friend get? (Do it in Long division pls)

Answers

Answer:

Gina's friend will get 5 pieces of legos

Step-by-step explanation:

If you do long division it should look like this

                 

    [tex]\sqrt[6]{473}[/tex]  = 78

then if you multiply 78 you get 468    

473-468=5      

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\boxed {\boxed {\sf 1. \ 20 }}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles. Remember that equilateral sounds like equal.

The interior angles of a triangle must equal 180 degrees.

All 3 angles are the same.180/3= 60 All 3 angles in an equilateral triangle equal 60 degrees.

The question tells us the angle is equal to (4x-20).

∠= 60°∠= (4x-20)°

So, by substitution, we can set 60 and (4x-20) equal to each other.

[tex]60=4x-20[/tex]

Now, solve for x by isolating the variable on one side of the equation.

20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.

[tex]20+60=4x-20+20 \\ 20+60=4x\\80=4x[/tex]

x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{80}{4}=\frac{4x}{4}[/tex]

[tex]\frac{80}{4}=x \\\ 20=x[/tex]

x is equal to 20 and choice 1 is correct.

If the perimeter of this triangle is 15 centimeters, what is the value of n?
5n - 6
n
2n + 1
Express your answer as a decimal number.

Answers

Answer:

25/14

Step-by-step explanation:

The value of n that makes up the triangle of perimeter 15 centimeters is 2.5

How to determine the value of n?

The side lengths of the triangle are given as:

5n - 6, n and 2n + 1

The perimeter is given as:

P = 15

The perimeter is the sum of the side lengths.

So, we have:

5n - 6 + n + 2n + 1 = 15

Collect like terms

5n + n + 2n = 15 + 6 - 1

Evaluate the like terms

8n = 20

Divide both sides by 8

n = 2.5

Hence, the value of n that makes up the triangle is 2.5

Read more about perimeter at:

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a factory can make 2,402 baseballs in 1 hour how many baseballs can the factory make in 5 hours​

Answers

Answer:

The factory can make 12,010 baseballs in 5 hours.

Step-by-step explanation:

We have to multiply 2,402 * 5 to find the answer.

5 * 2,402 = 12,010

Hope this helps!

Please mark as brainliest.

x=basketball in 5 hours

2,402=1 hours

which means x=5 hours

Multiply the terms:

2,402x5=12010

x=12010

what is 3x 2 2/3 x 1/3

Answers

Answer:

2.66

Step-by-step explanation:

Evaluate the following expression 10+ 54/-6

Answers

The answer would just be 1

Hey there!

The answer to your question is [tex]1[/tex].

Let us start by dividing:

[tex]\frac{54}{-6} = -9[/tex]

Now, we do [tex]10 + -9[/tex], which is [tex]1[/tex].

Hope it helps and have a terrific day!!!

Work out the area of a square with base,
b
= 4cm

Answers

Answer:

since

formula is 4a

then

answer 16...

Please help with this. With either question is okay :)

Answers

Answer:

slope: -3; y-intercept: (0,15)

Step-by-step explanation:

The slope is -3, simply move 3x to the right side for slope intercept form, the y-intercept is where x =0 so set x equalt to zero. 3(0)+y=15, y=15

The formula for s is The perimeter of a regular octagon is p and the length of a side is s. s = p ÷ 8 Find the length of a side when the perimeter is 72 cm. cm Write down a formula for p in terms of s. p = Write down a formula for the perimeter of this regular shape. p = Find p when s is 9 cm. cm

Answers

Answer:

s = 9 cm

p = 8s

p = 72 cm

Step-by-step explanation:

s = p ÷ 8

Where,

s = length of a side

p = perimeter of a regular octagon

find s when p = 72 cm

s = p ÷ 8

= 72 cm ÷ 8

= 9 cm

s = 9 cm

Formula for p in terms of a

s = p ÷ 8

Equivalent to

s = p/8

Cross product

s * 8 = p

p = 8s

Find p when s = 9 cm

p = 8s

p = 8 * 9 cm

= 72 cm

p = 72 cm

can sme one help me please​

Answers

Answer:

of course

Step-by-step explanation:

Find the value of x that makes m|| n.


Answers

Answer:

[tex]\huge\boxed{x=23}[/tex]

Step-by-step explanation:

In order to find the value of x that makes m || n, we need to note something.

When two parallel lines are cut by a transversal, their angle measures will be the same.

Therefore, in order for m and n to be parallel, their two angles listed must be equivalent.

So, we can set these expression equal to each other and solve for x.

[tex]7x - 11 = 4x + 58[/tex] [tex]7x = 4x+ 69[/tex] [tex]3x = 69[/tex] [tex]x = 23[/tex]

Therefore, x=23.

Hope this helped!

Estimate the difference

2.8/9 - 2. 7/1


A. 2

B. 1

C. 0

Answers

Answer:

C. 0

because 2.8/9 <1

and 2.7>1

so 2.8/9 -2.7 <_ 0

whats the gfc of 15 and 30?

Answers

Answer:

15

Step-by-step explanation:

HELPPP

How many liters would you have to sell to earn
$36?
Enter the correct answer.

Answers

Answer:

90

Step-by-step explanation:

You would get 36 dollars from 90 liters.

The answer is in the photo.

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