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2 years ago

future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years

Mathematics

1 answer:

hoa [83]2 years ago

7 0

without further ado

10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53$

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John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square

oee [108]

Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

$A= l\times w$

We just have to substitute
$l=62.5$ and $w= 45.3$ into the given formula and evaluate.

This implies that;

$A= 62.5\times 45.3$

This gives the area of the rectangular-shaped field to be;

$A= 2831.25$ square yards.

Now for the perimeter, we use the formula

$P=2w +2l$

Or

$P=2(w +l)$

Substituting the values for the length and width gives,

$P=2(62.5+45.3)$

$\Rightarrow P=2(107.8)$

$\Rightarrow P=215.6$

Hence the perimeter of the rectangular shaped field is 215.6 yards.

8 0

3 years ago

4.Think about the expression (x-8)(x+4).

Vaselesa [24]

Answer:

x-8 to get the zero for the 8 you have to add it. And for the second part you have to subtract four from itself.

Step-by-step explanation:

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3 years ago

describe how to find the price of a blender 3 years from now the inflation is constant at 4% and the the blender costs 38$ today

Ludmilka [50]

FV = PV / (1 +r)^n

Where FV = Future Value, PV = Present Value, r = inflation rate in %,
n = number of years.

PV = $38, r = 4%, n = 3 years.

FV =    38 / (1 + 4%)^3

= 38 / (1 + 0.04)^3

= 38 / (1.04)^3 =    33.782

Hence the value 3 years from now = $33.78

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3 years ago

The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the sellin

Finger [1]

The goal amount of the student groups are given in percentages, which are fractions based on one hundred.

The flutist raised more money than the trumpeters

The difference in the amounts the student raised is $256.5

Reasons:

The amount the school band is raising for the trip = $9,500

Goal of the flutist = To raise 18% of the total amount

Goal of the trumpeters = 85% of the flutist's goal

Required:

The group that raise more money, given that their goals are met

Solution:

Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.

Required:

The difference in the amount raised by the students

Solution:

The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710

Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5

The difference in the amount raised = $1,710 - $1,453.5 = $256.5

Learn more about percentages here:

brainly.com/question/1367867

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3 years ago

What is the first step in simplifying the expression below?

zlopas [31]

Answer:

subtracting 1 from 3 is the correct answer of this question

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3 years ago

future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years​

future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years