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kicyunya [14]
3 years ago
6

sonja and jake just got married. they received $4,500 in gift money and deposited it into a savings account that pays 1.85% simp

le interest.How much will they have in savings after 3 years?
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

The total amount in savings after 3 years is $ 4749.75

<h3><u>Solution:</u></h3>

Sonia and Jake received $4,500 in gift money and deposited it into a savings account that pays 1.85% simple interest

To find: Amount after 3 years

<em><u>The total amount after 3 years is given as:</u></em>

total amount = principal amount + simple interest

<em><u>The simple interest is given as:</u></em>

\text {simple interest }=\frac{\text { principal } \times \text { number of years } \times \text {rate of interest }}{100}

Here principal amount = $ 4500

Rate of Interest = 1.85%

Number of years = 3 years

Substituting the above values in formula we get,

\text { simple interest }=\frac{4500 \times 1.85 \times 3}{100}

\text {simple interest }=45 \times 1.85 \times 3=249.75

Thus simple interest = $ 249.75

total amount = principal amount + simple interest

total amount = 4500 + 249.75

total amount = $ 4749.75

Thus the total amount after 3 years is $ 4749.75

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Let's factorise it :

\: {\qquad  \dashrightarrow \sf   ( {x}^{3}   -  5)(x + 3)  }

\: {\qquad  \dashrightarrow \sf    {x}^{3} (x + 3) + [-5(x + 3)]  }

Using Distributive property we get :

\: {\qquad  \dashrightarrow \sf    {x}^{3} +  {3x}^{3}   + ( - 5x - 15)  }

\: {\qquad  \dashrightarrow \sf    {x}^{3} +  {3x}^{3}   - 5x - 15 }

\: {\qquad  \dashrightarrow \sf    4{x}^{3}  - 5x - 15 }

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Therefore,

\: {\qquad  \dashrightarrow \sf   ( {x}^{3}   -  5)(x + 3)   =4{x}^{3}  - 5x - 15}

8 0
2 years ago
Alice created a kite out of two sticks and some fabric. The sticks were 10 inches and 15 inches long.
DENIUS [597]

Answer:

Area = 25 square inches.

Step-by-step explanation:

Consider the large base triangle first. The height is 15 - 5 = 10

The base across is 10 (the length of the smaller stick).

The Area of that triangle is 1/2 * b * h

Area = 1/2 * 10 * 10 = 50

Now the smaller triangle is the same base (the smaller stick of 10) * the height of 5

Area = 1/2  b * h

Area = 1/2  10 * 5

Area = 25

total area of the kite = 50 + 25 = 75

6 0
2 years ago
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BRAINLIEST TO BEST ANSWER!!!!
Thepotemich [5.8K]
The equation would be y = -(3/4)x+1
5 0
3 years ago
Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a
hram777 [196]

Answer:

(1,1)

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points (x_1,y_1)\,,\,(x_2,y_2) is equal to \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So,

EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}

Perimeter of a figure is the length of its outline.

EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9

Put (x,y)=(1,1)

\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9

This is true.

So, the point (1,1) satisfies the equation \sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9

So, point H is (1,1).

7 0
3 years ago
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11/3 is bigger 1.27 because when you do 11/3 you get 3.66666666666666666667 which is clearly bigger than 1.27 so like I said 11/3 is bigger than 1.27.
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3 years ago
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