Mathematics High School

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

Solve the system of equations.
- 5y + 8x = -18
5y + 2x = 58
х=
y =

Answers

Answer:

x = 4 and y = 10

Step-by-step explanation:

-5y + 8x = -18

5y + 2x = 58

First you will want to get rid of y from both equations, so you add both equations together.

You will get 10x = 40, then subtract 10 from both sides and you get x = 4.

Now substitute x as 4 in any of the equations to get y.

-5y + 32 = -18

-5y = -50

y= 10

Answer:

x = 4

y = 10

Use a proportion to find 70% of 34.
will Mark brainlest

Answers

Answer:

23.8

Step-by-step explanation:

10% of 34 is 3.4, you multiply that by 7 and get 23.8

A proportion is two ratios that equal each other.
True
False

Answers

True

This is the answer..

Answer:

true

Step-by-step explanation:

Simplify the following. Do not write multiplication signs in your answers.
a) p×q×q×r×r×q×q×r=
b) t×t×t×t×u×u×t×t×t×u×u=​

Answers

Answer:

q⁴r³p

t⁷u⁴

Step-by-step explanation:

hope this is the answer

BCMSCM-CA-SCIENCECRT

Answers

Answer:

Thanks Lol

Step-by-step explanation:

A debit card is a plastic payment card than can be used instead of cash when making purchases. it is similar to a credit card. list the pros and cons of having a debit card ​

Answers

Answer: the pros are not having to carry around large amounts of money ofc also if it gets stolen you can get a new card with the money amount that was originally on the stolen card the cons are that someone could steal your information and by things people could hack into you account as well

Step-by-step explanation:

I need help with geometry

Answers

Answer:

It 12

Step-by-step explanation:

This is because the scale factor between the triangles is 1.75, so I divide 21 by 1.75 and got 12

Hope this helped

We first have to find 2 pairs of sides that proportional.

35/20=42/24=7/4

and 21/b should be 7/4 as well because if we want the triangles to be similar the sides should be in proportion.

21/b=7/4

84=7b

b=12

Done!

Hope this helped, any questions about this just ask in the comments and I will answer.

Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar. Find the missing number in this proportion.

[tex] \frac{10}{15} = \frac{?}{21} [/tex]
​

Answers

Answer:

for what?

Step-by-step explanation:

Name an independent variable that's used for a laptop computer to work.

Answers

Answer:

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.

Step-by-step explanation:

Bir sınıfta 24 öğrenci vardır. Bu sınıftan rastgele seçi-
lecek öğrencilerin erkek öğrenci olma olasılığı daha
fazla ise bu sınıfta en cok kaç kız öğrenci vardır?Yardım eder misiniz ​

Answers

Answer:

11 çünkü en fazla dediği için yarısının bir eksiği olması lazim

Answer:

Yarısı 12 bir eksiği 11 cevap 11 knk

will give brainliest

Answers

Answer:180 degrees

Step-by-step explanation:

I haven't did my math for a month since brainly tutoring wasn't working. I need you guys help ​

Answers

Answer:

$2.50

Step-by-step explanation:

Answer:

$25 per ft2

Step-by-step explanation:

you have to calculate the area  (20x8=160sq ft) and then get 4000/160 which is $25.

In the first quadrant, you start at (5,7) And move 2 units right and 2 units down What point will you end up on

Answers

Answer: (7,5)
Explanation:
5+2= 7
7-2= 5
(X,Y)
Left to right- the X axis, moving up 2 units so you add 2 to your x value which is 5.

Up and Down- the y axis, moving down 2 units so you subtract 2 from the y value, being 7.

Helppppp pleaseeee due in 10 minutes

Answers

Answer:this was  house ago but 68

Step-by-step explanation:

Answer:

the answer is 68

Step-by-step explanation:

What is the solution to the system of equations graphed below?

Answers

Answer:

(2, -3)

Step-by-step explanation:

the intersection point is the solution.

Answer:

2,-3

Step-by-step explanation:

Because the other guy said so

Armstrong High School decided to purchase 30 lab coats. One lab coat regularly costs $18.50. If a 15% discount is given on the total purchase, how much will the lab coats cost?

Answers

Answer:

hahahhahhahahahhahaahshshhshf hffhfh hfhfhh hfhfhfhfhffh

please i could really use some help, please explain if you can <33

Answers

Answer:

27

Step-by-step explanation:

angle 1 = angle 2 because of the vertical angle theorem

2x + 5 = 3x - 6

x = 11

3 (11) - 6

33 - 6

27

What addition expression is equivalent to (–5) – 8?

Answers

Answer (-5)+ +8
Explanation: use the rule keep, change, change

6x + y = -1
y=-3x - 4

Answers

Answer:

x = 1, y = 7

Step-by-step explanation:

If y = -3x - 4, then

6x -3x -4 = 1

3x - 4 =-1

3x = 3

x = 1

If x = 1, then

y = -3*1 -4 = -3 -4 = -7

A 16-ounce package of cereal costs $4.00. What is the unit cost?​

Answers

.25 cents is the unit price

Divide cost by ounce = unit price

Answer:

0.25

Step-by-step explanation:

3w - 11 = 25
can someone answer this plz

Answers

Answer:

w = 12

Step-by-step explanation:

3w = 11 + 25

3w = 36

w = 12

Hope that helps!

if you’re solving for W, the answer would be 12.

you subtract 11 from both sides leaving you with 3w=36, then you would divide by 3 on each side to get the w alone, leaving you with w=12

5 1/4 ft; a= 12 ft 2

Answers

1Answer:

Step-by-step explanation:

If x = 2/3 and y = 3/4, then 10xy equals

Answers

10xy=5

10x(2/3)x(3/4)=10xy

Answer:

10xy would equal 5.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] * [tex]\frac{3}{4}[/tex]  * 10 = [tex]\frac{1}{2}[/tex] * 10 = 5.

f(x)=-2(x+1)^2-12 in the form f(x) =ax^2+bx+c

Answers

Answer:

[tex] \boxed{ f(x) = -2x^2 - 4x - 14 } [/tex]

Step-by-step explanation:

f(x) = -2(x+1)²-12

f(x) = -2(x²+2x+1) - 12

f(x) = -2x² - 4x - 2 - 12

f(x) = -2x² - 4x - 14

SOMONE HELP PLSSSS IM SO CONFUSED

35.95+7.75%

Answers

Answer:

43.7

Step-by-step explanation:

Please help due today

Answers

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half  the product of the height and the sum of the lengths of the  bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

Hola me pueden ayudar con esto es de ley de signos porfavor estoy que me harto :(solo esta me falta y mi mente esta mas alla que paca -34(-5)

Answers

Responder:

-39; 170

Explicación paso a paso:

Según la regla de los signos:

(-) * (-) = +

(-) * (+) = -

(+) * (-) = -

(+) * (+) = +

Por lo tanto, usar lo anterior como guía ayudará a comprender las reglas de los signos.

Para :

-34 (-5)

Si la pregunta requiere suma o resta

-34 - 5 = - 39

Si la pregunta requiere multiplicación:

-34 (-5) = 170

-4 (y - 2) = 12

what would “y” be?

Answers

Answer:

y = -1

Step-by-step explanation:

When solving this equation use the distributive property and get...

-4 (y - 2) = 12

-4y + 8 = 12

-4y = 12 - 8

-4y = 4

y = -1

Is (-3,2) a solution to the system of equations below ?

Answers

help me its 7 85 49 =482i23u23

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Correct answer pls!

Answers

Answer:

The last one, I think

Step-by-step explanation:

Answer: 4 5/16

Step-by-step explanation: becuase i got 100 on quiz

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