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geniusboy
20 days ago
5

At what rate would you need to invest $12000 and make $2880 after 8 years?

Mathematics
1 answer:
PIT_PIT [9.1K]20 days ago
4 0

Answer:

3\%

Step-by-step explanation:

We start with the fact that

The formula for simple interest is represented by

I=P(rt)

where:

I denotes the Final Interest Value

P indicates the Principal amount to be invested

r specifies the interest rate

t refers to the Number of Time Periods

For this scenario, we have

t=8\ years\\ P=\$12,000\\I=\$2,880\\r=?

We can substitute these values into the formula mentioned above

2,880=12,000(8r)

Next, we solve for t

2,880=96,000(r)

r=2,880/96,000

r=0.03

Convert to a percentage format

0.03*100=3\%

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An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest
AnnZ [9104]
\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &730\\
r=rate\to 28.8\%\to \frac{28.8}{100}\to &0.288\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
A=730(1-0.288)^{10}\implies A=730(0.712)^{10}
6 0
11 days ago
Read 2 more answers
PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
zzz [9093]

Given:

It is stated that

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the measure of ∠QPR.

Formula

According to the problem PR sits between PQ and PS,

Consequently,

∠QPR+∠RPS = 90°

Now,

Inserting the values for ∠RPS and ∠QPR yields

7x-9+4x+22 = 90

or, 11x = 90-22+9

or, 11x = 77

or, x = \frac{77}{11}

or, x = 7

Substituting the value of x = 7 into ∠QPR gives us

∠QPR = 7(7)-9

or, ∠QPR = 40^\circ

So,

The measure of ∠QPR is 40°.

3 0
10 days ago
Which transformations can be used to carry ABCD onto itself? The point of rotation is (3, 2). Check all that apply.
Leona [9271]

Both A and B.

This is due to the fact that X=3 cleanly divides the rectangle into two equal halves, causing any reflection to resemble the original shape.

Additionally, any shape with two lines of symmetry, when rotated 180 degrees, will align with one of the axes of symmetry and appear the same as the original shape.

7 0
29 days ago
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A truck is carrying 10 3 bushels of apples, 10 2 bushels of grapes, and 10 1 bushels of oranges. Each bushel of apples weighs
Svet_ta [9518]

Answer:

10,088 pounds

Step-by-step explanation:

Provided data

103 bushels of apples

102 bushels of grapes

101 bushels of oranges

With the respective weight per bushel:

Apples = 32 pounds

Grapes = 25 pounds

Oranges = 42 pounds

The total weight can be calculated by summing the products of each type:

Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds

5 0
8 days ago
A healthcare provider saw that 48%percent of their members received their flu shot in recent years. The healthcare provider trie
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Answer:

The null hypothesis states that 48% of the healthcare provider's members received their flu shot.

The alternative hypothesis claims that the proportion of members who received their flu shot differs from 48%.

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A null hypothesis is a proposed statement regarding a population parameter that is tested for acceptance or rejection.

An alternative hypothesis presents a contradicting statement to the null hypothesis and is accepted when evidence disproves the null hypothesis.

6 0
19 days ago
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