All categories

3 years ago

Please help me in this hurry

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

5 0

Answer:

450

Step-by-step explanation:

Area of the base: 1/2(5+7.5)(6)

1/2(75)= 37.5

Volume= Area of the base* height

37.5(12)= 450

You might be interested in

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

During the first 3 days of the week, Mike read an average of 28 pages per day. During the next 4 days, Mike averaged 42 pages pe

Anestetic [448]

Answer:

36 pages per day on average

Step-by-step explanation:

Calculate the average.

3 * 28 (The first 3 days of the week where Mike reads 28 pages per day) = 84

4 * 42 (The next 4 days where Mike reads 42 pages per day ) = 168

168 + 84 = 252

To find the average using this total, divide it by the total amount of days of reading (seven days in this problem).

252 / 7 = 36

6 0

2 years ago

answer #14 for me plss and thank you!!!! pls do not answer if you don't know the answer just comment

olga_2 [115]

Answer:

2, 3

Step-by-step explanation:

The graph of quantities in direct proportion.

Is a straight line passing through the origin, thus

the line always crosses the y- axis at |(0, 0 )

Thus the y- intercept is 0

3 0

3 years ago

Solve the equation for x. show each step of the solution. name the justifications for each step of the solutions.

UkoKoshka [18]

Answer:

What grade is this?

Step-by-step explanation:

7 0

3 years ago

I ordered 2000000 chicken nuggets and 500000 pounds of Mac and cheese how much chicken nuggets and Mac and cheese do i have all

Triss [41]

Answer:

well first of all whoever is eating that finna get high levels of cholesterol also you have 2500000 pounds of MAC and cheese and chicken nuggets all together

5 0

2 years ago

Read 2 more answers