Ask question

Ask question

All categories

2 years ago

13

After college Gerald wants to take a graduation trip to China. He wants to save $4,000 for his trip in four years. About how muc

h does Gerald have to save each month if his savings earns 7% interest compounded monthly?

1 answer:

Ne4ueva [31]2 years ago

5 0

Answer: $72

Step-by-step explanation:

You might be interested in

mr. rite wants his roof to be 90degrees at its peak and have a slope of -7/2 on the sunny side of the house. if the height of hi

ruslelena [56]

Answer:

60 feet

Step-by-step explanation:

The slope of the roof is the vertical distance over the horizontal distance. This means for very 7 feet vertical the roof spreads out 2 feet horizontal. So if the roof is 210 feet vertical, then the horizontal will be _____.

This is found by setting up a proportionand solving for the unknown distance.

$\frac{7}{2}=\frac{210}{y}$

7y = 2*210

7y = 420

y = 60

The horizontal distance will be 60 feet.

3 0

2 years ago

Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication

tia_tia [17]

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) $x = 6.2\times 12$ Given.

2) $x = \left(6+0.2\right)\times 12$ Definition of addition.

3) $x = 6\times 12 + 0.2\times 12$ Distributive property.

4) $x = 72 + \frac{2}{10}\times 12$ Definitions of multiplication and decimal number.

5) $x = 72 +[2\cdot (10)^{-1}]\cdot 12$ Definition of division/Associative property.

6) $x = 72 + [2\cdot 12]\cdot (10)^{-1}$ Associative property.

7) $x = 72 + 24\cdot 10^{-1}$ Definition of multiplication.

8) $x = 72 + \frac{24}{10}$ Definition of divsion.

9) $x = 72 + 2.4$ Defintion of decimal number.

10) $x = 74.4$ Definition of addition/Result

Natalia's work is wrong.

5 0

2 years ago

What is the surface area of the regular pyramid below

Alenkinab [10]

$S=14\times14+4(\frac{14}{2}\times18) \\S=196+4(7\times18) \\S=196+4\times126 \\S=196+504 \\S=\boxed{700}$

5 0

2 years ago

Read 2 more answers

Caleb has 20 more books than Danica. If Caleb gives Danica half of his books, Danica will have 4 more books than Caleb. How many

wariber [46]

Answer:

Option E: 24.

Step-by-step explanation:

When Caleb (C) has 20 more books than Danica (D), we have:

$C = 20 + D$ (1)

Now, when Caleb gives Danica half of his books:

$C' = C - \frac{C}{2}$ (2)

Danica will have 4 more books than Caleb, so:

$D' = D + \frac{C}{2}$ (3)

Also we have that:

$D' = C' + 4$ (4)

By entering equation (2) and equation (3) into equation (4) we have:

$D + \frac{C}{2} = C - \frac{C}{2} + 4$ (5)

From (1) we have:

$D = C - 20$ (6)

By entering (6) into (5):

$C - 20 + \frac{C}{2} = C - \frac{C}{2} + 4$

$C = 24$

And, from (6):

$D = C - 20 = 24 - 20 = 4$

Therefore, the correct option is E, Caleb had to start with 24 books.

I hope it helps you!

3 0

2 years ago

A six foot man is standing 10 feet away from a 20 foot lamppost. what is the length of his shadow?

elena55 [62]

There are two congruent triangles that are being formed from the lamppost, the light, the ground and the man. Always try to draw a picture for these types of problems. It helps a lot when solving. Your answer should be about 4.3ft

4 0

2 years ago

Read 2 more answers