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3 years ago

7

Can someone help please!

1 answer:

slava [35]3 years ago

4 0

Answer: Area of the dotted line square is 120ft^2 and area of figure a. is 60 ft^2

Step-by-step explanation:

So the area of the dotted square/rectangle is 120 because we can take the entire length and width which is 10ft and 12 ft and multiply to find the area

Now the weird looking shape can be a little tricky but we have to remember that it is alot easier to solve for area of separate shapes. So if you look at the side of the 5ft and look all the way down we can see this figure makes both a rectangle and a triangle. The rectangle has a length of 10 and width of 4 so the area of that is 40ft^2. Now for the triangle. To find the base and height lengths 12-4 from the width of the rectangle which is 8 and 10-5 from height of the triangle so 5. Area of triangles is b*h/2 so 8*5/2= 20ft^2. So 40ft^2(rectangle)+20ft^2(triangle) is 60ft^2 area of figure a.

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5 0

3 years ago

2. If the present salary of an employee is $36,500 and they are to receive a 7% raise next year, what will be the new salary?

Natasha_Volkova [10]

Answer:

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6 0

3 years ago

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

= 5.0508

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3 0

3 years ago

Can someone please help!

vekshin1

Answer:

<h2>43.3cm²</h2>

Step-by-step explanation:

Area of a Triangle = Base * Height * 1/2

Base = 5

Height = 4.33

Area of a Triangle = 5 * 4.33 * 1/2

Area of a Triangle = 10.825

There are four triangles.

Surface Area = Area of a Triangle * Number of Triangles

Surface Area = 10.825 * 4

Surface Area = 43.3cm²

7 0

3 years ago