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3 years ago

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Mica opened a bank account that earns simple interest with an initial deposit of 2200. She made no other transactions throughout

the year. At the end of the year make ahead $2260.50 in her account. What was the simple interest rate?

1 answer:

viktelen [127]3 years ago

8 0

Luckly i still have my notes and the answer was about 3.1%. I hope this helped.

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In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not

Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

$\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}$

Furthermore,

$PS=PR-RS$

Finding PR and RS,

$\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}$

Then,

$\frac{12}{PR}=\frac{TS}{15}$ $\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}$

Solving for PS,

$\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}$

Solve the quadratic equation in terms of PS, as shown below

$\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}$

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

3 0

1 year ago

pishuonlain [190]

There is no rectangle shown.

To find area, you multiply the rectangle’s length by its width. If it comes out to be a decimal and you need to round it by the nearest tenth, then you round it to the right of the decimal point.

Ex: 2.34 -> 2.3

Then, to find how much square inches are equal to square ft, you divide the square inches by 12, I believe.

8 0

3 years ago

What is the value of x? Round the answer to the nearest tenth

arsen [322]

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.

7 0

3 years ago

A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting

Elenna [48]

So there is 26 shirts in total because 4+8+4+10=26 Then you need to take 26-4=22. You do this because there is 26 total clothing and only 4 of them aren't either a blue piece of clothing or pants that means you have 22 pieces of clothing that are blue or pants. So your odds of picking a blue piece of clothing or pants is 22/26.

Hope this Helps!!

3 0

3 years ago

Which statements about the graph of f(x) =√x are true?

marshall27 [118]

Answer:

Step-by-step explanation:

So let's think about what values you can take square root of...

anything but negative values!

So the first one is not correct because you can also take square root of 0,

squareroot of 0 is 0.

So because of this, C and D are both correct, E is correct because root x is an increasing function. B is incorrect because (0,0) is an intercept.

5 0

3 years ago