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juin [17]
2 years ago
14

Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%. Lori deposits $1,400 into a savings accou

nt that has a simple interest rate of 3.8%. If no other transactions are made, who will have more money in their account after 10 years? How much more?
Mathematics
2 answers:
elixir [45]2 years ago
6 0

Answer:

Lori will make $27.00 more.

Step-by-step explanation:

The formula to calculate simple interest is

A = P(1+rt)

P = Principal amount

r = rate of interest ( in decimal )

t = time

First we calculate Darryl's deposit, so put the values in the formula

A = 1,500(1 + 0.027×10)

A = 1,500 ( 1+0.27 )

A = 1,500 × 1.27

A = $1905

Now we will calculate Lori's deposit

A = 1,400 ( 1 + 0.038 × 10 )

A = 1,400 ( 1 + 0.38 )

A = 1,400 × 1.38

A = $1,932

Lori will make money after 10 years = $1,932

Darryl will make money after 10 years = $1905

so Lori will make more than Darryl, the difference will be = 1,932 - 1,905 = $27

After 10 years Lori will have make $27.00 more in their account.

igor_vitrenko [27]2 years ago
3 0
Darryl:
Answer:
A = $1,905.00

(I = A - P = $405.00)

Equation:
A = P(1 + rt)

Lori:

Answer:
A = $1,932.00

(I = A - P = $532.00)

Equation:
A = P(1 + rt)

Thus $532-$405= $127 more in Lori's account
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A certain shade of pink is created by by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should
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Answer:

→[ Certain shade=red paint+ white paint]

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Dividing both side by 7,we get

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So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.

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2 years ago
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Taylor has a $30 gift card that she can spend at the store. She has already bought a $9 picture frame, and she wants to buy $3 j
Lorico [155]

Answer:

9

Step-by-step explanation:

total is 30

spent is $9

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30-9

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7 0
2 years ago
The sun subtend an angle at 35degree from the centre of the earth whose distant from the centre of the earth is 382,100km. Find
Sonbull [250]

Study the figure attached below:

Answer:

240951.33km      

Step-by-step explanation:

For this type of question first we need to draw the figure as shown in the attached file (Figure.1).

Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).

As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

tan(\theta )= \frac{perpendicular}{Base}

In the triangle ABC, perpendicular (opposite side to \theta ) is BC and base (Adjacent side) is AC

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AC=382100km

Putting the values, we get

tan(17.5)=\frac{BC}{382100}\\ \\BC=tan(17.5)*382100km\\\\BC=0.315*382100km\\\\BC=120475.66km

Diameter=d=2*Radius

As BC is the distance from center of the sun, it is the radius, so we can find the diameter if we multiply it by 2.

Diameter of the sun=d=2*120475.66km

The\ diameter\ of\ the\ sun\ = 240951.33km

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