Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent

Answers

Answer 1

Answer:

B. 5 and 1/4 percent

Step-by-step explanation:

Step one:

given

principal= $2460

time= 3 and 1/2 years= 3.5 years

SI= $452

Required

The rate

Step two:

we know that

SI= PRT/100

substituting our data we have

452= 2460*R*3.5/100

452=8610R/100

cross multiply

452*100= 8610R

divide both sides by 8610

45200/8610= R

R= 5.25%

R= 5 and 1/4 percent


Related Questions

Which situation could NOT represent a proportional relationship?

Answers

Answer:

The weight in w weeks of a baby that gains 1.5 pounds per month if her starting weight is 7.5 pounds.

Step-by-step explanation:

Matt invested $300 into an account that had an annual interest
rate of 3.8% compounded monthly for 5 years. Chris invested
$350 into an account that had an annual interest rate of 3.5%
compounded continuously for 5 years. Determine which models
could be used to determine how much money would be in each
account after 5 years.

Answers

The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.

Matt put $300 into a five-year account with a 3.8% annual interest rate compounded on a monthly basis. Then the amount after 5 years will be

[tex]\rm A = 300\left (1 + \dfrac{0.038}{12} \right ) ^{12 \times 5}[/tex]

Simplify the equation, then we have

A = 300 x 1.2089

A = $362.66

Chris put $350 into a savings account with a 5-year compounded yearly return rate of 3.5 percent.

A = 350 (1 + 0.035)⁵

Simplify the equation, then we have

A = 350 x 1.1877

A = $415.69

The amount of money that Matt and Chris have after 5 years will be $362.66 and $415.69, respectively.

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Find the midpoint of points A(-3,7) and B(-6,0) graphically. ​

Answers

Answer:

satingin ko po at B I not sure

Step-by-step explanation:

i hope it help

since it says graphically, plot the point (-3/2, 7/2)

One week a student exercised 3 hours at school and another 2/3 of an hour at home. If 1/6 of the student’s total exercise came from soccer, how much time did the student spend playing soccer that week?

Answers

Answer:

36m 40s

Step-by-step explanation:

To find out how much time was spent on playing soccer, we need to find out the total number of hours spent on exercising.

Total amount of time for exercise = 3h + [tex]\frac{2}{3}[/tex]h

                                                        = [tex]\frac{11}{3}[/tex]h

Total amount of time for soccer = [tex]\frac{1}{6}[/tex] × [tex]\frac{11}{3}[/tex]h

                                                     = [tex]\frac{11}{18}[/tex]h

                                                     = 36m 40s

Lila added three-fourths of a bag of soil to her garden. Her neighbor
Fiona added two-thirds bags of soil to her garden. How much more soil
did Lila add than Fiona?

Answers

Answer:

lila added 1/12 more than fiona

Step-by-step explanation:

find GCF (12), multiply amounts added accordingly

lila added 9/12 (multiply 3/4 by 3)

fiona added 2/3 (multiply 2/3 by 4)

the length of a rectangle is 8 centimeters. what is the width?​

Answers

Answer:

This is a very vague question. We can't find out the width if it doesn't tell us the area. Comment on my answer the area and I can help.

If an input of -9 is put into each of the machines below, what is each output?
b. Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?
Function A
Function B

Answers

If an input of -9 is given to machine having Function A, then output will be 84 and if it is given to machine having Function B, then the output will be 3i-2.

The machine having Function A is given by y = x² + 3 and the machine having Function B is given by y = (√x) - 2.

Here, input will be the value of x and output will be the value of y as x id the independent variable and y is the dependent variable. If we put x = -9 in both the machines, then;

The output by machine A will be given by

y = (-9)² + 3

y = 81 + 3

=> y = 84

The output by machine B will be given by

y = (√-9) - 2

y = 3(√-1) - 2

=> y = 3i - 2.

Now, if Eric wants to get an output zero, he can get it by using machine B as Function A has square and addition both so any negative number will also give a positive result and the result will never be zero. But in Function B the result zero can be obtained by giving the input as 4 that is x = 4. The output will be given by:

y = (√4) - 2

y = 2 - 2

=>y = 0.

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A submarine is 4,000 feet below sea level, and rising a rate of 100 feet pre minute. Write an equation to represent y, the depth of the submarine after x minutes.

Answers

Answer:

y = 100x - 4000

Step-by-step explanation:

Initial elevation is a starting point, therefore y-intercept is -4000The rate of change is the slope, therefore m = 100

The equation of the linear function is:

y = 100x - 4000
Answer: -4000+100x=y
Explanation: the submarine is 4000 feet BELOW sea level which is why in the equation there is a negative sign. Then the submarine rises 100 feet per minute and the x represents minutes and y is the depth of the submarine.

2%10×105+10×11%190÷178​

Answers

Answer:

31.0003

Step-by-step explanation:

Use BODMAS: Brackets Of Divison Multiplication Addition and Subtraction

i) Division

11/190 / 178 =11/33820

ii) Multiplication

2/10 * 105 =21

iii) Add

21 + 10 + 11/33820 = 31.0003...

Are you sure This Question is not ambiguous?

I used my calculator to do the calculations. Can't convert to a fraction.

THERE ARE 3 MORE PICTURES ATTACHED SO ANSWER THEM ALL, IT'S ONLY 7 QUESTIONS. NO EXPLANATION NEEDED. BRAINLIEST WILL BE AWARDED.

Answers

Answer:

1 . A

2.C

3. D

4. B

5.A

6.C

7. B

Step-by-step explanation:

PLEASE HELP IM TROUBLED! WILL GIVE BRAINLIEST TO BEST ANSWER! 20 POINTS
Multiplicative inverses (reciprocals) are two number whose product is 1. Which pair of numbers are multiplicative inverses?

Group of answer choices

0 and 1

0.25 and 4

1/2 and 1/2

3 and -3

Answers

Answer:

b .25 x 4 = 1

Step-by-step explanation:

A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.

A -2

B 0

C 5

D 8

E 10

Answers

Answer:

8

Step-by-step explanation:

300 - 140 = 160 so 160 divided by 20 is 8

Answer:

8, 0, 10

Step-by-step explanation:

What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31

Answers

Answer:

D. 31

Step-by-step explanation:

Given:

[tex] f(x) = 4x^3 - 10 [/tex]

[tex] g(x) = \frac{3x - 4}{2} [/tex]

Required:

The value of g(f(2))

First, find f(2).

Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].

[tex] f(2) = 4(2)^3 - 10 [/tex]

[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]

[tex] f(2) = 22 [/tex]

Next, find g(f(2)).

[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]

[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = 31 [/tex]

2.5∙0.04∙250∙8∙1.25∙789

Answers

Answer:

197,250

Step-by-step explanation:

2.5 * 0.04 * 250 * 8 * 1.25 * 789

0.1 * 250 * 8 * 1.25 * 789

25 * 8 * 1.25 * 789

200 * 1.25 * 789

250 * 789

789/4 * 1000

197.25 * 1000

197,250

1/2x + 4=9
What does x equal?

Answers

Answer:

x=10

Step-by-step explanation:

1/2x+4=9

subtract 4 from both sides

1/2x=5

multiply both sides by 2 to get x by itself

x=10

Answer:

1/2x+4=9 is x=1/10

Step-by-step explanation:

theres no explanation

Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *

Answers

Answer:

Y=300

X= 4

M= 49x9=4

3x4=3

Step-by-step explanation:


can someone please answer as soon as possible

Answers

Its C bc c+p=15 is correct

evaluate (11 + 4) ÷ 3 x √64 =

Answers

Step-by-step explanation:

=(11+4)÷3×√64

=15÷3×8

=5×8

=40

hope it helps

ken and Marcy plan to have their kitchen remodeled at a cost of $6,000. the carpenter suggests they pay $600 down,followed by 18 monthly payments of $325. what is the finance charge for this payment schedule

Answers

6000 - 600 = 5400
18 x $325 = 5850
Difference is $450
325 x 7.692% = 450
Finance charge is 7.692%

The finance charge for this payment schedule is $450 if Ken and Marcy plan to have their kitchen remodeled at a cost of $6,000.

What are monthly expenses?

It is defined as the expenses incurred by a single entity on a monthly basis, it consists of basic utilities, food, etc.

We have;

Ken and Marcy plan to have their kitchen remodeled at a cost of $6,000.

The carpenter suggests they pay $600 down, followed by 18 monthly payments of $325.

The finance charge = 600 + 325×18 - 6000

= 600 + 5850 - 6000

= 6450 - 6000

= $450

Thus, the finance charge for this payment schedule is $450 if Ken and Marcy plan to have their kitchen remodeled at a cost of $6,000.

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2. (08.03) A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What percent of those who passed the second exam also passed the first exam? (2 points) 80% 12% 30% 48%

Answers

Only 80% students passed the second exam and also passed the first exam .

Conditional probability is used to find the probability of an event A given that event B has already occurred.

It is denoted by P(A/B)=P(A∩B)/P(B)  .

In the given question

Let A be the event for students passed in first exam.

Let B be the event for students passed in second exam.

Given

Only 48% passed in both the exam that means

P(A∩B)=48%=0.48   ...(i)

and

60% students passed the second exam , that is

P(B)=60%=0.60       ...(ii)

To find the probability of students passed in second exam given that they passed in first exam , conditional probability is used that is P(A/B), denoted by

P(A/B)=P(A∩B)/P(B)

Substituting the values from equation (i) and (ii) we get

P(A/B) = 0.48/0.60

=48/60

Converting 48/60 to percent

=48/60*100

=80%

Therefore , Only 80% students passed the second exam and also passed the first exam , the correct option is 80%.

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A submarine is traveling at a constant speed below sea level . The equation y = -50x-75 can be used to represent this situation where y is the location of the submarine below sea level in feet and x is the number if hours the submarine has been traveling . Which states best describes the location of the submarine given this equation

Answers

Answer:

From a starting location of 75 feet below sea level, the submarine is descending 50 feet per hour. Answer is.D

Step-by-step explanation:

Used an Calculator  

I hope this helps

Answer:

D

Step-by-step explanation:

the reason why it's D, is because i did the test bro and it had a green check which means it's right.

your welcome.

There are x diamonds in the right showcase at a
jewelry store. There are y diamonds in the left
showcase. The right showcase has 16 more than
4 times as many diamonds as the left showcase.
What is the value of y, in terms of x ?
E.x1/4-4
F.1/4x+4
G.x+15
H.4x+4

Answers

Answer:

H.4x+4

Step-by-step explanation:

gg

jsjsjsjsjsjsjs

1. A random sample of 200 items yields 35 that are non-conforming. Find the 90% confidence interval for the true population proportion non-conforming.

Answers

Answer:

(0.131) , (0.044)

Step-by-step explanation:

Given:

Total sample n = 200

Yield x = 35

Confidence level = 90%

Find:

Proportion non-conforming

Computation:

Proportion p = x / n

Proportion p = 35 / 200 = 0.175

Non Proportion q = 1 - p

Non Proportion q = 0.825

So,

z value of 90% is 1.64

So,

Proportion non-conforming

p ± [z√pq/n]

0.175 ± [1.64√(0.175)(0.825)/200

(0.131) , (0.044)

Step-by-step explanation:

what should she do do next yo find √42 to the nerest hundredth

Which of the following is equal to the expression below?

(6^-8)^4

(A) -6^4
(B) -6^32
(C) 1/6^32
(D) 1/6^4​

Answers

Answer:

choice c

Step-by-step explanation:

which ratio forms a proportion with 7/14

Answers

Answer:

7 : 14, or simplified, 1 : 2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

divide by 7 to

Find the measures of two complementary angles if the difference in their measures is 16.

Answers

Answer:

One of the angles is 53 degrees and the other is 37 degrees.

Step-by-step explanation:

Let x be equal to the measure of the first angle.

Let y be equal to the measure of the second angle.

Because x and y are complementary, they add up to 90 degrees.

x+y=90

The question tells us that x and y have a difference of 16.

x-y=16

Now that we have our two equations, we can use the method of elimination to find the value of x (process is in the picture attached). We do this by adding the two equations since y will cancel out.

x=53

Finally, we can plug x back into either of the original equations to find the value of y.

x+y=90

53+y=90

Subtract both sides by 53 to isolate y

53+y-53=90-53

y=37

I hope this helps!

Can someone please help me out with this question I really need help with this

Answers

Answer:

all real numbers for both

Step-by-step explanation:

pls help me on this​

Answers

Answer:

A. $3

Step-by-step explanation:

20 × 15% =

20 × 15/100 =

20 × 3/20 = 60/20 = 3

Answer:

$23

Step-by-step explanation:

15% of 20 = 3Original price + tip = total cost$20 + $3 = total cost$20 + $3 = $23

I hope this helps!

I WILL MARK BRAINIEST PLEASE ANSWER !! A publishing house recently released two novels. Both novels are available in paperback or as an e-book. This table shows the number of copies of each sold on the first day. Analyze this data and arrange the percentages relating to the data in order of their values from least to greatest. ​

Answers

Answer:

:4,3,5,8,7,6,1,2

Step-by-step explanation:

this is right give me brainlist

When this data is analyzed and arranged, here is the order of the values from least to greatest:

The percentage of copies of book B sold that are e-book.The percentage of copies of book A sold that are e-book.The percentage of paperback sold that are copies of book A.The percentage of e-book sold that are copies of book B.The percentage of e-books sold that are copies of book A.The percentage of paperbacks sold that are copies of book B.The percentage of copies of book A sold that are paperbacks.The percentage of copies of book B sold that are paperbacks.

What is percentage?

Percentage refers to the measure made per hundred. In mathematics, percentage actually refers to a ratio that is expressed as a fraction of 100.

We see the above arrangement as related to the data which is arranged in order of their values from least to greatest.

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Julia has dozen of eggs. She wants to use the eggs to bake cakes and cookies for the school fair.
The cake recipe uses dozen eggs, and each batch of cookies requires dozen eggs. Which
combination of cakes and cookies can Julia bake to use all of the eggs?

Answers

Answer: you could make a half batch of each of them

Step-by-step explanation:

Answer:

Step-by-step explanation:

thats a lot of eggs

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