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Licemer1 [7]
3 years ago
14

help Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly. How much would Emma need to inv

est, to the nearest cent, for the value of the account to reach $66,000 in 7 years?
Mathematics
1 answer:
iragen [17]3 years ago
3 0

Emma needs to invest $55,050.14.

<h3><u>Compound interest </u></h3>

Given that Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly, to determine how much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years, you should perform the following calculation:

  • Principal amount x (1 + rate / number of annual compositions)^(years x number of annual compositions) = Interest
  • X x (1 + 0.026/4)^(7x4) = 66000
  • x x (1 + 0.0065)^28 = 66000
  • x x 1.0065^28 = 66000
  • x x 1.198907 = 66000
  • X = 66000 / 1.198907
  • X = 55050.14

Therefore, Emma needs to invest $55,050.14.

Learn more about compound interest in brainly.com/question/7420113

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There are 3 times as many boys as girls. If there are 24 more boys than girls, how many children are there?
Ludmilka [50]

Answer:

There are 48 children.

Step-by-step explanation:

Given :There are 3 times as many boys as girls.

            There are 24 more boys than girls,

To Find : how many children are there?

Solution:

Let the number of girls be x

Now we are given that there are 3 times as many boys as girls.

So, no. of boys = 3x

Now we are given that there are 24 more boys than girls.

So, 3x-x=24

2x=24

x=12

So, no. of girls = 12

No. of boys = 3x = 3(12) = 36

Now the total no. of children = 12+36 = 48

Hence there are 48 children.

6 0
3 years ago
HELP PLS ASAPPPPPPPPPPPPPP
Romashka-Z-Leto [24]

Answer: Wouldn't the answer be A?

Step-by-step explanation:

5 0
3 years ago
How to solve division with exponents
otez555 [7]
In division, exponents with the same base are subtracted.
example:
\frac{x^4}{x^2} = x^2  \\  \\   \frac{ x^{3}  y^{2} }{ x^{6} y}  =  \frac{y}{ x^{3} }  \\  \\ Negative-exponents \\  \\  x^{-2} =  \frac{1}{ x^{2} }
5 0
3 years ago
Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx
geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

#SPJ1

3 0
2 years ago
Marley runs 5 yards down the track from point A to point B, and then stops and runs
julia-pushkina [17]

Answer:

\sqrt{61}=AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

5^{2}+6^{2}=AC^{2}

25+36=AC^{2}

61=AC^{2}

\sqrt{61}=AC or 7.8102=AC

3 0
3 years ago
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