Rick Arico invested $5000; part at a yearly rate of 7% and part at a yearly rate of 9%. The total
interest earned for one year was $368. How much did he invest at each rate?

Answers

Answer 1

Answer:

Rick Arico invested $4100 at a yearly rate of 7% and $900 at a yearly rate of 9%.

Step-by-step explanation:

Let x represent the amount invested at 7% yearly rate and let y represent the amount invested at 9%.

$5000 was split and invested at 7% yearly rate and 9% yeatly rate. Therefore:

x + y = 5000         (1)

For the 7% yearly rate:

Interest = (x * 7%) = 0.07x

For the 9% yearly rate:

Interest = (y * 9%)  = 0.09y

The total interest = interest for the 7% yearly rate + Interest for the 7% yearly rate = 0.07x + 0.09y

Given that the total interest earned in the year was $368, hence:

0.07x + 0.09y = 368      (2)

To find x and y, we have to solve equation 1 and equation 2 simultaneously. multiply equation 1 by 0.07 and subtract the result from equation 2 to get:

0.02y = 18

y = 18 / 0.02

y = $900

Substitute y = $900 in equation 2:

0.07x + 0.09(900) = 368

0.07x + 81 = 368

0.07x = 287

x = $4100

Therefore Rick Arico invested $4100 at a yearly rate of 7% and $900 at a yearly rate of 9%.


Related Questions

Does anyone know the next number in this pattern?? 125,-25,5,-1

Answers

Answer:

1/5

Step-by-step explanation:

you're dividing by -5

Mae Ling earns a weekly salary of $325 plus a 7.5% commission
on sales at a gift shop. How much would she make in a work week if she sold
$5,800 worth of merchandise? Write in money format.

Answers

Answer:

$760

Step-by-step explanation:

Given data

weekly = $325

commission= 7.5%

if she sold $5,800 worth of merchandise

Her earnings will be

Week earning= base salary+ 7.5% of sales

Week earning= 325+ 7.5/100*5800

Week earning= 325+ 0.075*5800

Week earning= 325+ 435

Week earning= $760

If 40 chairs are bought for Rs
10000 then how many
chairs must be
Sold
for
10000
gain 60%?​

Answers

Answer:

25 chairs

Step-by-step explanation:

If 40 chairs are bought for Rs 10000 then how many chairs must be sold for Rs 10000 so as to gain 60%?

The percent gain = 60%

Number of chairs to be sold = x

Hence:

40 chairs = 10,000

60/100= 40 - x/x × 100

0.6= 40 - x/x

Cross Multiply

0.6x = 40 - x

0.6x + x = 40

1.6x = 40

x = 40/1.6

x = 25 chairs

can anyone help me i dont understand this

Answers

It is 8, because 8-11 is -3.
it’s 8
8-11= -3

to find the answer for future questions , just subtract the number (-11) from the sum (-3)

How much is 645 divided by 5

Answers

Step-by-step explanation:

129

hope it helps

please mark me as brainlist

Answer:

it is 129

Step-by-step explanation:

plz hurry
How many faces does the solid made from the net below have?


A shape has a pentagon base. There are 5 triangles on the sides.
5
6
10
15

Answers

Answer:

6

Step-by-step explanation:

I

did quiz.

The net of the solid is a plane shape, and The net of the solid is made from 6 faces

How to determine the number of faces?

From the question, we understand that:

Sides = 5 trianglesBase = 1 pentagon

So, the number of faces is:

Face = Triangle + Pentagon

This gives

Face = 5 + 1

Face = 6

Hence, the net of the solid is made from 6 faces

Read more about surface areas at:

https://brainly.com/question/6613758

#SPJ2

will make brainliest what is 2,837 to the nearest 10????????????????????????

Answers

Answer:

2,840

Step-by-step explanation:

since the three is in the tens place and 7 in single if 5 and up round up fi 4 and below leave it alone you will then take the 3 and round up to give you 2,840

2840 is the answer :)



Study time (hours)
The scatter plot shows the relationship between exam score and study time. Which statements are correct?
A)
Each additionally hour of studying is associated with an additional 10 point
increase in exam score.
B)
The model predicts that studying for 1.5 hours will result in an exam score
of 60.
The model predicts that studying for 2.5 hours will result in an exam score
of 70.
The model redirts that cturving for 4 hours will recuilt in an ovam ccaro of

Answers

Answer:y’all it’s all of them ABE

Step-by-step explanation:

The statements that are correct are:
B) The model predicts that studying for 1.5 hours will result in an exam score of 60.
C) The model predicts that studying for 2.5 hours will result in an exam score of 70.

What are Scatter plots?

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

The scatter plot shows a positive relationship between study time and exam scores, with exam scores generally increasing as study time increases. However, the relationship is not linear and the increase in exam score is not always 10 points for each additional hour of study.

A) is not correct because the relationship between study time and exam score is not linear, and the increase in exam score is not always 10 points for each additional hour of study.

D) is not correct because the wording is unclear, it should be "The model predicts that studying for 4 hours will result in an exam score of (a specific number)".

Learn more about scatter plots here:

https://brainly.com/question/29231735
#SPJ6

i need help
(64-4) / 2-7^2

Answers

Answer:

-19

Step-by-step explanation:

60/2-7²

30-49

-19

The answer is -19 hope it helps!

If bcd~gef find value of x

Answers

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

From the attachment, we have:

[tex]BC = x + 4[/tex]

[tex]BD = 2x - 7[/tex]

[tex]GE = 51[/tex]

[tex]GF = 57[/tex]

Because both triangles are similar, we use the following equivalent ratios:

[tex]BC : BD = GE : GF[/tex]

Substitute values for each parameter

[tex]x + 4 : 2x- 7 = 51 : 57[/tex]

Convert to fractions

[tex]\frac{x + 4}{2x- 7} = \frac{51 }{ 57}[/tex]

Simplify the right-hand side

[tex]\frac{x + 4}{2x- 7} = \frac{17}{19}[/tex]

Cross Multiply

[tex]19(x + 4) = 17(2x - 7)[/tex]

[tex]19x + 76 = 34x - 119[/tex]

Collect Like Terms

[tex]19x - 34x = -76 - 119[/tex]

[tex]-15x = -195[/tex]

Solve for x

[tex]x = \frac{-195}{-15}[/tex]

[tex]x = 13[/tex]

Answer: x=13

Step-by-step explanation:

:(x+4) 57 = (2x-7) 5157x + 228 = 102x - 357357+228 = 102x - 57x585 = 45x13 =

what is 6 1/3-5 2/3 plz answer quick

Answers

6 1/3- 5 2/3
Covert them improper fractions by multiplying the whole number by the denominator and then add the product so you end up with

19/3 - 17/3= 2/3
Answer=2/3

You have 10 pairs of socks, five black and five blue, but they are not paired up. Instead, they are all mixed up in a drawer. It’s early in the morning, and you don’t want to turn on the lights in your darkroom. How many socks must you pull out to guarantee that you have a pair of one colour? How many must you pull out to have two good pairs (each pair is the same colour)? How many must you pull out to be certain that you have a pair of black socks?

Answers

Answer:

Go turn a light on.

Step-by-step explanation:

Flip the light switch

EMERGENCYYYYYYY ANSWER THIS PLS I HAVE ONLY 2 MINS
140,000+36.25​​+1,000=

Answers

Answer:

141036.25

Step-by-step explanation:

Answer:

141036.25

Step-by-step explanation:

Explain how to model the problem with algebra tiles and then write an algebraic expression that represents the situation.

Ruby gave away one of her puppies.
(not sample respince)

Answers

Step-by-step explanation:

the answer is in the picture

Answer:

The variable, the number of golf balls, is modeled by an orange x tile.

Finding 8 more golf balls is modeled by 8 orange + tiles.

The expression that represents the situation is x + 8.

80 points! Look at the pic attached. I will mark brainliest to the correct answer. Random answers will be reported :) thanks

Answers

Answer: No, it is not commutative. If used a square as an example, centered at (1,1). If a dilation is performed on the square of a scale factor of 3, and the square is translated 5 units downward, then the result would be different than if I switched the order, doing the translation downward first and then performing the dilation centered at (1,1).

I hope this helps! If you need any further clarification, just let me know below. Thanks! Have a good day, and good luck on your assignment. :)

Answer:

this helps me :-))

thanks

whoever gets this right gets brainliest

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the value of X.

Answers

Answer:

i think 32

Step-by-step explanation:

128÷12 = 10.6666666666

10.6666666666×3 = 32

Make me brainliest

The answer is 32 of x=32

Which graph represents (x,y)-pairs that make the equation y=0.5+5 true?

Choice B: (1,0), (3,4), (6,10)
Choice C: (2,6), (4,7), (6,8)​

Answers

Answer:

Choice C

Step-by-step explanation:

Notice that the equation y = 0.5 x + 5

is a linear equation so the points that are solutions of it must reside on a line. Option A does not show aligned points, so it cannot be a possible answer.

Option B: we look into the given points and notice that just the first one (1, 0) is NOT a solution to the equation because:

y = 0.5 (1) + 5 = 5.5 and not "0"

Option C: This is the correct answer, since all those points satisfy the equation

Point (2, 6)  -->  y = 0.5 (2) + 5 = 1 + 5 = 6

Point (4, 7)  -->   y = 0.5 (4) + 5 = 2 + 5 = 7

Point (6, 8) -->   y = 0.5 (6) + 5 = 3 + 5 = 8

The diagram show a 5cm x 6cm x 7cm cuboid pls help you

Answers

Answer:

d ≈ 10.5

Step-by-step explanation:

The formula for the diagonal of a retangular prism (cuboid) is

[tex]d=\sqrt{l^2+w^2+h^2}[/tex]

1.) Plug in all the values for l, w, and h

[tex]d=\sqrt{5^2+6^2+7^2}[/tex]

2.) simplify by squaring the terms inside the square root

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

[tex]d=\sqrt{25+36+49}[/tex]

3.) Add the terms

[tex]d=\sqrt{110}[/tex]

4.) Simplify

[tex]d = 10.488[/tex]

5.) Round to one decimal place

d ≈ 10.5

Determine the sum of all single-digit replacements for n such that the number 42,789,n37 is divisible by 3.

Answers

42,789,n37 is divisible by 3 if the sum of the digits is divisible by 3.
Sum of all digits except n = 40
n=2, 5, or 8

A professor grades a set of exams and then computes the quartiles:
Q0 = 60. Q1 = 70. Q2 = 80 Q3 = 87. Q4 = 95

If the professor curves every grade up by 10 points, then how will Q2 be affected by the curve?

I. It will increase by 10 points
ii. It will be 10 points higher than the median for the noncurved data
III It will be halfway between Q1 and Q3 for the curved data

a. I only
b. II and III
c. I, II and III
d. I and II
e. I and III

Answers

Answer:

Answer is c. I, II and II

Step-by-step explanation:

Solution:

Answer is c. I, II and II

It will be increase by 10 points and it will be 10 points higher than the median for the noncurved data. and it will be halfway between Q1 and Q3 for the curved data.

Median for noncurved data = Q2 = 80

Median for curved data = 90

It will increase by 10 points = 90  

It will be 10 points higher than the noncurved data = 90-80 = 10 points

if the set contains 20 values then, noncurved data will be:

60 _ _ _ _ 70 _ _ _ _ 80 _ _ _ _ 87 _ _ _ _ 95

Curved data will be: (all grades increased by 10 points)

70 _ _ _ _ 80 _ _ _ _ 90 _ _ _ _ 97 _ _ _ _ 105

Here, we can see median = Q2 = 90, exactly, halfway between Q1 =80 and Q3 = 97

Hence, C is the right answer

Calculate the slope of the line.
Use pic ty

Answers

Answer:

-1

Step-by-step explanation:

You can use the formula change in y divided by change in x = the slope.

Change in y between the two points is -6 and change in x between the two points is 6, so the slope is [tex]\frac{-6}{6} = -1[/tex].

Plllllwaaaaasseeee hellollll

Suppose you are given two quadrilaterals, ABCD EFGH. If the similarity ratio of ABCD to EFGH is 4:3, and it EH =
60, find AD
a. 45
0.90
b. 40
d. 80
Please select the best answer from the choices provided
B

Look at image^^^

Answers

Answer:

d. 80

Step-by-step explanation:

Similarity ratio of ABCD to EFGH = 4:3.

This implies that the ratio of AD to EH = 4:3

If EH = 60, then:

AD:60 = 4:3

AD/60 = 4/3

Multiply both sides by 60

AD = ⁴/3 × 60

AD = 80

Domesticated animals were primarily valued for meat.
true or false

Answers

Answer:

False

Step-by-step explanation:

Hope this helps :)

Evaluate the expression: (10) -3x (-2) +5

Answers

Answer:

-3x(-2)+15

Step-by-step explanation:

add the numbers

HELP HELP HELP
5TH GRADE MATH
HELP HELP HELP

Answers

Answer: it should be 14 or 10

Step-by-step explanation:

If x > 1, then which of the following has the least value

Answers

1 has the least value X is bigger

What is 25% of £5.99?? I need help.... ​

Answers

1.5 just do 5.99 x 0.25

help me pls thank you alot!

Answers

your answer will be -1/7
Answer -1/7..........

Tucker's bedroom is a rectangle that measures 3
5
6
yards by 4
1
6
yards. His dad buys two area rugs that each have a length of 4 yards. Rug one has an area of 16
35
36
square yards. Rug two is 15 square yards.

Which rug will fit Tucker's room?

Answers

Answer:

my teacher has cancer please help her at #snowmanchallenge

Step-by-step explanation:

try to spread the help every snowman is ten dollars for her

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