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mario62 [17]
3 years ago
14

Construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The whole will be in

the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide. The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per cubic foot. What is the least number of truckloads needed to remove all of the soil ?
Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer:

5

Step-by-step explanation:

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1. Alice invests $1000 at 2% interest compounded monthly over a 5 year period. Assuming no other money is deposited or withdrawn
eduard

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

6 0
3 years ago
Give the equation of the line that passes through the points (4,6) and (-2,3)
Nutka1998 [239]

Answer:

y = 1/2x+4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

    = (3-6)/(-2-4)

    = -3/-6

   =1/2

The equation of a line in slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y =1/2x+b

Substitute one of the point into the equation

6 = 1/2(4) +b

6 = 2+b

b=4

y = 1/2x+4

3 0
3 years ago
Read 2 more answers
Why is it necessary to learn how to factor if you can just use the quadratic formula to solve quadratic equations?
xxTIMURxx [149]
Because u might need it in the real world.
4 0
3 years ago
Sammy wants to deposit into a 7% annual simple interest account she will also deposit twice as much in a certificate of deposit
antiseptic1488 [7]

Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.

Step-by-step explanation:

Let x represent the amount that he would deposit in the simple interest account.

Let y represent the amount that he would deposit in the certificate of deposit.

she will deposit twice as much in the certificate of deposit. It means that

y = 2x

Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x

Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.

The total interest from both accounts would be $390. It means that

0.07x + 0.05y = 390- - - - - - - - - - 1

Substituting y = 2x into equation 1, it becomes

0.07x + 0.05 × 2x = 390

0.07x + 0.1x = 390

0.17x = 390

x = 390/0.17 = $2294

y = 2x = 2 × 2294

y = 4588

4 0
2 years ago
What % of 300 is 30​
algol13

Answer:10%

Step-by-step explanation:

5 0
3 years ago
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