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sergij07 [2.7K]
1 year ago
15

A youth sports league held various fundraisers. They received $350 from a car wash, $337 from a bake sale, and $490 from a used

equipment sale. The league decides to invest this money in a 3 year CD that pays 2.2% interest compounded daily. How much will the league receive from the CD in 3 years?
Mathematics
1 answer:
mina [271]1 year ago
5 0

Given that the received amount was $350 from a car wash, $337 from a bake sale, and $490 from a used equipment sale.

Also, the interest rate is 2.2 % and the time period is 3 years.

Thus, the total amount is as follows:

\begin{gathered} \text{Total amount = 350+337+490} \\ \text{Total amount = }1177 \end{gathered}

Next, the accumulated amount can be calculated as follows:

\begin{gathered} Accumulated\text{ amount = P(1+}\frac{R}{100})^n \\ Accumulated\text{ amount }=\text{ 1177(1+}\frac{2.2}{100})^3 \\ Accumulated\text{ amount }=1177(\frac{102.2}{100})^3 \end{gathered}

Further, solve the obtained result as follows:

\begin{gathered} Accumulated\text{ amount }=\text{ 1177}\times(1.022)^3 \\ Accumulated\text{ amount }=1177\times1.067 \\ Accumulated\text{ amount }=1256.40 \end{gathered}

Thus, the league will have $1256.40 in their account after 3 years.

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Y=6x-1, y=3x-4 the solution is_____
TEA [102]

Answer:

y= -7 and x= -1

Step-by-step explanation:

To do this, line up the variables so it looks like this...

y-6x=-1

y-3x=-4

The reason why -6x and -3y changes to negative is because that it moved to the other side of the equation.

distribute negative to the bottom equation because the two equations have the same number variable which is y...

y-6x=-1

-y+3x=4

Y cancels out and it will be left with -3x = 3.

X = -1.... plug that in to any of the two equation and you get y = -7.

Hope I helped and have a nice day!!

5 0
2 years ago
Simplify the following expression. 1 point<br><br> (-2+i)(3-6i)
liberstina [14]
(-2+I)(3-6i)
-2i + -6i = 12i
4 0
3 years ago
Read 2 more answers
Pls help i feel like im doing it right but i wanna make sure
Svetllana [295]

Answer:

-43

Step-by-step explanation:

1. -3 x -3 x -3 = -27

2. -27- 4 x 4

3. -27- 16 = -43

3 0
3 years ago
Perimeter of a quarter circle is 17.85 what is the quarter circles radius
givi [52]

The radius of the given circle  is 2.84 units

Step-by-step explanation:

Step 1 :

Given

The perimeter of a quarter table is 17.85

We need to find the circle's radius.

Step 2 :

The circle's perimeter is given by the formula, 2 \pi r where r represents the circle's radius

So from this we have ,

2 \pi r = 17.85

We can determine the radius by dividing the perimeter value by 2 \pi

= >  r = 17.85 divided by 2 \pi r

        = 2.84 [ taking  \pi  = \frac{22}{7}]

Step 3 :

Answer :

The radius of the given circle  is 2.84 units

4 0
3 years ago
A survey found 195 of 250 randomly selected Internet users have high-speed Internet access at home. Construct a 90% confidence i
Andrej [43]

Answer:

d. (0.737, 0.823)

The 90% confidence interval is = (0.737, 0.823)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

Given that;

Proportion p = 195/250 = 0.78

Number of samples n = 250

Confidence interval = 90%

z value(at 90% confidence) = 1.645

Substituting the values we have;

0.78 +/- 1.645√(0.78(1-0.78)/250)

0.78 +/- 1.645√(0.0006864)

0.78 +/- 1.645(0.026199236630)

0.78 +/- 0.043097744256

0.78 +/- 0.043

(0.737, 0.823)

The 90% confidence interval is = (0.737, 0.823)

8 0
3 years ago
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