Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?

Answers

Answer 1

Answer:

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.

Step-by-step explanation:

Formula for the simple interest is,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

Here, P = Principal amount

r = rate of interest  

t = Duration of investment

Let Phyllis invested amount (at 5.25% rate of interest) = $x

Therefore, Interest on this amount,

Interest = [tex]\frac{5.25\times x}{100}[/tex]

             = $0.0525x

If he invested the rest amount $(13000 - x) at the rate of 5%,

Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]

                                                    = $(650 - 0.05x)

Interest earned on total amount = $672

Therefore, $0.0525x + $(650 - 0.05x) = $672.5

0.0025x + 650 = 672.5

0.0025x = 22.5

x = $9000

Rest amount = 13000 - 9000

                     = $4000

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.


Related Questions

Verizon charges $200 to start up a cell phone plan. then there is a $50 charge each month. what is the total cost for .x months

Answers

Answer:

200 + 50x

Step-by-step explanation:

depending on what x is, you multiply x by 50 and add 200, since 200 is the start up fee and the constant. the 50 dollars per month is a variable, since the more months you own the plan, the more money it would cost.

Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.

Answers

Answer:

Im not sure but i think its b or c

Step-by-step explanation:

I would probably mostly recommend b

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Answers

ASA. Benebdbdbfbdvfvfvfv
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The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of BB?

Answers

Answer:

(7, -4)

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

Hence the coordinate of B is at (7, -4)

What is 74 in standard form?

Answers

Answer:

seventy four

Step-by-step explanation:

None

7.4 x 10^1

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Tanijah paid $4.00 for 5 organic peaches. How much did she pay per peach?

Answers

Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

-(5 – 9) - (-2)(2)
how do i solve this?

Answers

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

Please help me geometry

Answers

Answer:

ASA

Step-by-step explanation:

ASA Congruence Theorem

these two triangles are similar. find the missing length.

Answers

so if we go by fractions, you could say that 6 cm is 6/10ths or 3/5ths so 3/5ths of 25 is 15, for questions like this, when you do something to one part you have to do it to both. hope this helps

14=-4(-6c-3)+2 find c​

Answers

Answer:

C = 0

Step-by-step explanation:

To find the answer simply, isolate the variable by dividing each side by factors that don't contain the variable to get the value of 'C'

If the candies cost $0.80 per pound, how much money did Zachary spend all together? Show your work.

Answers

do u know how many pounds he bought?

Answer:

Step-by-step explanation:

tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn

Help Please!! On the 1st and 2nd one. just the decent and independent variable and the equation please!

Answers

hi, did you attach the picture for it?

Solve the equation h+28= -37

Answers

Answer:

-65

Step-by-step explanation:

h + 28 = -37

    -28    -28

        h = -65

Javier works each weekend at an animal shelter. He earns $8 an hour. He is saving his earnings to go on a ski trip that costs $190.

Becca says that Javier must work at least 6 more hours to have enough money to go on the ski trip. Her work is shown below. Choose True or False about each statement

Becca's solution included all of the hours Javier worked on both weekends. (TRUE OR FALSE?)

Javier worked a total of 23 hours on both weekends. (TRUE OR FALSE?)

Javier earns $198 for 24 hours of work. (TRUE OR FALSE?)

Javier only needs to work one more hour to have enough money for his trip. (TRUE OR FALSE?)

Answers

Answer:

Becca's solution included all of the hours Javier worked on both weekends.

Step-by-step explanation:

Javier needs to work at least 6 more hours. He will earn:

6*8 = $48

He has already got:

$190 - $48 = $142

He worked:

142/8 = 18 hours (rounded)

Total he will have worked:

18 + 6 = 24 hours

Answer choices:

Becca's solution included all of the hours Javier worked on both weekends.

TRUE

Javier worked a total of 23 hours on both weekends.

FALSE. 23*$8 = $184 < $190

Javier earns $198 for 24 hours of work.

FALSE. 24*8 = $192

Javier only needs to work one more hour to have enough money for his trip.

FALSE. Becca says 6 more hours required.

the sides lenghths of a triangle are 9, 12, and 18 is this a right triangle?​

Answers

Answer:

By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.


A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?

Answers

Answer: Area=18324 square feet

Explanation: We need to find the area of the field using the side angle side method, which uses the equation (ab*sin C)/2.
Thus, we have (120*325*sin 70)/2=18324 square feet.

Farmer need 750.5 feet fencing for his triangular field.

What is triangle?

"Triangle is  two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.

Formula used

Cosine rule

As per the diagram,

cosθ = (b² +c² -a²) / 2bc

cos 70° = 0.3420

According to the question,

Let AB = c , AC = b  are given sides of measure 120 feet and 325 feet respectively.

and BC = a

Angle between given sides be θ = 70°

Substitute the value in the formula we get,

cos70° = [ (325)² +(120)² - a²] / 2(120)(325)

⇒ 0.3420 = [ 120025 - a²] / 78000

⇒ 120025 -a² = 26676

⇒ a² = 93349

⇒ a = 305.5

Total fencing required for  triangular field = AB + BC +CA

                                                                      = 120 + 325 + 305.5

                                                                      = 750.5 feet

Hence, farmer need 750.5 feet fencing for his triangular field.

Learn more about triangle here

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Answers

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You can use symbolab

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Answers

Answer:

Its simple : 3.1w

Answer:

3.1w

explanation

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Answers

Answer:

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Step-by-step explanation:

Need help ASAP

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Answers

Answer:

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Step-by-step explanation:

Answer:

5/3 is 5÷3 = 1.666666. point C is closest to 1.67.

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Answers

Answer

The answer is negative 14.

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

by four method

Step-by-step explanation:

1st by AAA

2nd by AA

3rd by SSS

4th by SAS

WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set

Answers

Answer:

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B 969696 cubic centimeters

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D 280280280 cubic centimeters

Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

8d=-72

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-72d=8d
Switch sides
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Answers

Answer:

m=-4/9

Step-by-step explanation:

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Find the slope of the line passing through the pair of points.
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Answers

Answer:

y = 3/-4x + 2

Step-by-step explanation:

Answer:

slope = [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

1) To find the slope between a pair of points, use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through. [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through. We know the line passes through (-4,5) and (0,2). So, substitute their x and y values for the formula (following the appropriate order) and solve:

[tex]\frac{(2)-(5)}{(0)-(-4)} \\= \frac{2-5}{0+4} \\= \frac{-3}{4}[/tex]

Thus, the slope is [tex]-\frac{3}{4}[/tex]

Subtract -5x^2+7x+1 from 8x^2+x-10
I will give brainleist

Answers

Answer:

3x² + 8x - 9

Step-by-step explanation:

8x² - 5x² +x+7x-10+1

=3x² + 8x - 9

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