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Nitella [24]
2 years ago
6

A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the

Mathematics
1 answer:
Sidana [21]2 years ago
5 0

Answer:

The volume is 315

______________

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5000 12% compounded quarterly compound interest table find earned after 5 years
kolezko [41]
<h3>Amount earned after 5 years is $ 9030.5561</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1+\frac{r}{n})^{nt}

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

r = 12 \% = \frac{12}{100} = 0.12

<em><u>n = 4 ( since interest is compounded quarterly )</u></em>

<em><u>Substituting the values we get,</u></em>

A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561

Thus amount earned after 5 years is $ 9030.5561

7 0
3 years ago
A community service group organizes a car wash that raises 7c - 18 dollars and a spaghetti dinner that raises 6s - 45 dollars. W
love history [14]

Answer:

7c + 6s - 63

Step-by-step explanation:

7c - 18 + 6s - 45

Combine like terms

7c + 6s - 63

3 0
3 years ago
Describe the graph of the inequality on a number line: x ≥ 11
Phantasy [73]

Answer:

Here is how it should look

Step-by-step explanation:

5 0
2 years ago
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
Work out the value of 4 lots of 10​
nasty-shy [4]

Answer:

40

Step-by-step explanation:

4 lots of 10 is 10+10+10+10 or 4 x 10

3 0
3 years ago
Read 2 more answers
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