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sweet-ann [11.9K]
3 years ago
11

$5,000 is invested at 3% interest. How much money must be invested at 5% interest so that the total interest from the two invest

ments is $275 after one year? $2,000 $2,500 $3,000
Mathematics
2 answers:
Nataly [62]3 years ago
7 0
3% interest on 5,000 = 150

275 (the total amount wanted) - 150 (from initial investment)= 125

x (5%) =125
x (0.05)= 125
x/0.05)= 125/0.05
x=2500

you need to invest 2500 at 5% to get the additional 125

125 plus 150= 275


enyata [817]3 years ago
3 0

Answer:150

Step-by-step explanation:

Just divide 5000 by 3

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Question is in attached file
Nonamiya [84]

The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The distance traveled by passenger train = 245 miles

The distance traveled by freight train = 245 miles

The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

Learn more about the linear equation here:

brainly.com/question/11897796

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5 0
1 year ago
QUICKK EXPERTS/ACE/GENIUSES
fredd [130]
The answer is A because in a triangle, the angles need to add up to 180 degrees. In the triangle, the missing angle would be 65 because 180 - (75 + 40) = 65. Now you know the missing angle in the triangle is 65. But you’re trying to find the other angle that would make this pair supplementary (180 degrees). You would do 180 - 65 to get your answer to the problem of 115 or A.
4 0
2 years ago
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Dine lives 3/4 of a mile from school. She walked 2/3 of the way from home to school. How far did Dina walk?
Bas_tet [7]

Answer:

17/12  or mixed mixed number form is 1 5/12

Step-by-step explanation: all u do is add them :)

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3 years ago
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Using the figure of the bullseye above, what is the probability that a shooter will hit the 3rd ring? Express your answer as a p
melisa1 [442]
The probability of hitting the third ring is the same as finding what percentage is the area of the third ring out of the total area of the board.

The area of the third ring = The total area of the board - The area of the second circle.

Refer to the diagram below
The diameter for the whole circle = 32 in
The radius = 16 in
The area of the whole circle = π(16)² = 256π

The diameter for the second circle = 22 in
The radius = 11 in
The area of the second circle = π(11)² = 121π

The area of the third ring = 256π - 121π = 135π

Area of the third ring as a percentage of the total area = \frac{135 \pi }{256 \pi } *100 = 52.7%
                

7 0
3 years ago
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For a person standing 100m from the center of the base of the excel tower, the angle of elevation to the top of the tower is 71.
Crazy boy [7]

Answer:

Given the statement: For a person standing 100 m from the center of the base of the excel tower, the angle of elevation to the top of the tower is 71.6 degrees.

Let h be the height of the Eiffel tower.

Angle of elevation is, \theta =71.6^{\circ}

Distance of boy standing from the center of the base of the Eiffel tower is, 100 m.

Using tangent ratio:

\tan \theta = \frac{\text{opposite side}}{\text{Adjacent side}}

From the given figure as shown;

Solve for h;

\tan 71.6 = \frac{h}{100}

Multiply both sides by 100 we have;

h = 100 \tan 71.6

or

h = 100 \times 3.0061109035

Simplify:

h \approx 300 m

therefore, the height of the Eiffel tower is, 300m



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2 years ago
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