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Y_Kistochka [10]
3 years ago
14

Mandy needs to paint all the faces and the base of a model pyramid she made for her history project. The dimensions of the pyram

id are shown here. What is the total surface area of the pyramid?
A square pyramid is shown. The side of the square is 10 inches. The height of the triangular faces is 9 inches.

A. 190 in2
B. 280 in2
C. 380 in2
D. 460 in2
Mathematics
1 answer:
Maurinko [17]3 years ago
7 0

Hello,

The correct answer is B) 280 in²

= 10( 2 × 9 + 10 )

= 10 (2 × 9 = 18 + 10 = 28)

= 10 × 28 = 280

= 280

Answer: 280 in²

In other words.....

= 10(2*9+10)

= 10(18+10)

= 10*28

= 280

Answer: 280 in²

Hope this helps!!!! (:


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Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals
LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0
2 years ago
The picture is above I’ll mark as brainliest.
lesya692 [45]

Answer:

32 {cm}^{2}

Step-by-step explanation:

8×4=32

3 0
2 years ago
Given the following expression, what is the rate of decay (write in decimal form, not as a percentage)? 15000 (.87)^7​
34kurt

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

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3 years ago
Use the formula to solve the problems.
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Answer:

$4,309.12

Step-by-step explanation:

The computation of the interest earned is given below:

But before that the amount would be

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= $6,000 × (1 + 0.07)^8

= $6,000 × 1.07^8

= $10,309.12

Now the interest earned is

= Amount - principal

= $10,309.12 - $6,000

= $4,309.12

3 0
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What is a variable in mathematics?
Dmitrij [34]

Answer:

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

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