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Nadya [2.5K]
3 years ago
11

Suppose you deposit $1,250 at the end of each quarter in an account that will earn interest at an annual rate of 15 percent comp

ounded quarterly. How much will you have at the end of four years
Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer:

The amount at the end of 4 years is $2,252.79.

Step-by-step explanation:

The amount formula for the compound interest compounded quarterly is:

A=P[1+\frac{r}{4}]^{4t}

Here,

A = Amount after <em>t</em> years

P = Principal amount

t = number of years

r = interest rate

<u>Given</u>:

P = $1,250, r = 0.15, t = 4 years.

The amount at the end of 4 years is:

A=P[1+\frac{r}{4}]^{4t}\\=1250\times[1+\frac{0.15}{4}]^{4\times4}\\=1250\times1.80223\\=2252.7875\\\approx2252.79

Thus, the amount at the end of 4 years is $2,252.79.

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Sara selects two of the seven colors of the rainbow, one after another, with replacement. What is the probability that the first
Triss [41]

Well, there are actually millions of colors in the rainbow, (every color that the human eye can see), but I do understand the question you're asking:

 

-- When Sara is ready to make her first selection, there are seven things with different colors in the pot, and one of them is red.

The probability that she picks the red one is ( 1 / 7 ).

The question says "with replacement". That means that after she selects it and looks at it, she puts it back in the pot. So . . .

-- When she's ready to make her second selection, the same seven things with different colors are still in the pot.  One of them is orange.

The probability that she picks the orange one is ( 1 / 7 ).

-- The probability of BOTH selections being successful (the color she wants) is

(1/7) x (1/7) .

That's <em>(1/49)</em>, which is about  <em>2.04 percent</em> .

3 0
3 years ago
What is the answer to 11/12×6=​
Mademuasel [1]

Answer:

\frac{11}{2}

Step-by-step explanation:

\frac{11}{12} x 6 = \frac{11}{2}

5 0
3 years ago
PLEASE ANSWER Chelsea is budgeting for her trip to the mall. She does not want to spend any more than $140. If she wants to buy
Tcecarenko [31]
Let s equal the number of shirts she can buy

140 > $28.50 + $20.75s
111.50 > 20.75s
5.37 > s

so we round down.  she can buy 5 shirts, plus the one dress and she would spend less than $140

4 0
3 years ago
Which expressions are equivalent to √/32?<br> 4√8<br> 08<br> 2√8<br> 4√2<br> 16<br> 16√2
vaieri [72.5K]

Answer: 4√2

square root of a number is the factor that we can multiply by itself to get that number.

The square root symbol is also called as a RADICAL.

Perfect squares are the squares of the integers also called as square numbers.

to find the square root of non-perfect squared numbers we have to check the number with a near-perfect squared numbers

how to find square root of non perfect squared numbers:

If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.

Factor tree of 32 = 2*2*2*2*2

                            = (2*2) * (2*2) *2

                            = (4)2 *2

Therefore √/32 = √/2*2*2*2*2

                          = √/(4)2*2

                          = 4√/2

learn more about square roots here:

brainly.com/question/428672

brainly.com/question/3617398

#SPJ9

8 0
2 years ago
The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA=6a^2 If the surface area is
slava [35]

So to rewrite it so that we can find the side, we just need to isolate the a variable.


SA=6a^2


So firstly, divide by 6 on both sides of the equation: \frac{SA}{6} =a^2


Next, square root each side, and your answer should be \sqrt{\frac{SA}{6}} =a

3 0
3 years ago
Read 2 more answers
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