Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 1/2 year, she had earned $5.00 in interest on the account. If no other money was deposited into or withdrawn from the account, how much was her initial deposit

Answers

Answer 1
In order to figure this out we first have to divide the interest by 2 since it was only half a year.

0.0125 ÷ 2 = 0.00625

We now divide the interest number 5 by 0.00625 to find the initial amount.

5 ÷ 0.00625 = 800

To check this answer, multiply 800 by 0.00625.

800 × 0.00625 = 5

Related Questions

The recursive formula An+1 = 2∙An number of people with a virus in a school each week. If there are 96 people infected with the virus after 3 weeks, how many people will be infected after 6 weeks? What is the explicit formula?

Answers

each week the number infected doubles. the formula would be 2(2(2(96))). the sum is equal to 768.

768.

14 inches of snow fell in 4 hours how much snow fell each hour

Answers

14 inches fell in 4 hours
14 inches / 4 hours

14/4 = 3.5

3.5 inches of snow fell every hour.

factor 6x^2+11x+4 ...?

Answers

(3x + 4)(2x + 1) is it factorised

Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.

Answers

Final answer:

Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.

Explanation:

A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.

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If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 17x – 2
B. 3x – 6x + 2
C. 3x + 14x – 2
D. 3x + 6x + 2

Answers

3x + 10x + 4x – 2
= 17x - 2

answer is A. 17x – 2

Answer:c

Step-by-step explanation:

The slope of a line is -, and the y-intercept is . What is the equation of the line written in general form?

A) 10x + 3y - 1 = 0
B)x + 3y + 10 = 0
C) x + 3y - 10 = 0

Answers

i would say the answer is c hope that helps
Your answer:
C) x + 3y - 10 = 0


Hope it helped : )

Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3.
A) V = 81pi cu.units
B) V = 84pi cu.units
C) V = 82pi cu.units
D) V = 85pi cu.units
E) V = 83pi cu.units

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

Rotating around the y-axis; solve for x. y = x/3
x = 3y

Find x^2
x^2 = 9y^2

Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.

The answer is 81pi cubic units which is A. 

In this exercise we want to calculate the volume of a circular cone in this way we have that the rotation will be given by:

Letter A

First let's write the rotation in favor of the X, this will be equal to:

[tex]y = x/3\\x = 3y[/tex]

So substituting this value in the function we find that:

[tex]x^2 =(3y)^2= 9y^2\\\int\limits^3_0 {9y^2} \, dx =81 \pi[/tex]

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15x+1= y solve for x ...?

Answers

15x + 1=y   subtract 1 from both sides

15x=y-1   divide both sides by 15

x=(y-1)/15

If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year? simple interest = P × r × t Select one of the options below as your answer: A. $10.50 B. $30.25 C. $105

Answers

the interest rate earned in one year is $10.5

Answer:

The option A. $10.50 is correct

Step-by-step explanation:

Principal = $350

Rate = 3%

⇒ Rate = 0.03

Time = 1 year

Now, Simple Interest is given by the formula : Principal × Rate × Time

Therefore, Simple Interest = 350 × 0.03 × 1

Simple Interest = $10.50

Hence, The option A. $10.50 is correct

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

A. The law of sines
B. The alternative form of the law of sines
C. The alternative form of the law of cosines
D. The Pythagorean Theorem

Answers

Answer;

C. The alternative form of the law of cosines

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.

Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are  the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or          b² = a² + c² − 2 bc cos B, or          c² = a² +b ² − 2 bc cos C

Therefore; when given all the sides or edges of the triangle;

we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;

URGENT! PLEASE HELP MATH!

Which shows the conversion of 0.427 kg to pounds?

There are 2.2 pounds in 1 kilogram.

A.
0.427 kg × 2.2 lb/kg = 9.39 lb

B.
0.427 kg × 2.2 lb/kg = 0.939 lb

C.
0.427 kg + 2.2 lb/kg = 2.627 lb

D.
0.427 kg ÷ 2.2 lb/kg = 0.194 lb

Answers

2.2lb=1kg
conversion factor is
2.2lb/1kg
since they are equal, that equals 1

0.472kg times (2.2lb/1kg)=0.9349 lb
answer is B
Pro tip! Use this magical thing called dimensional analysis. It works on the principle that you are converting a unit to another unit. More in depth, it cancels out the unit you don't want! So, in this case we want to cancel out the kg unit. What do I mean by cancelling? It's the same concept as 2/2 they cancel out because 2/2 = 1. Units work in a similar fashion. When two of the same units are over each other they cancel out of the problem.

Remember, the numerator of a fraction is whatever is on top. The denominator is on the bottom!

Explanation aside let's use it in a problem!

[tex] \frac{0.427kg}{1} * \frac{?}{?} [/tex]

We want the denominator to have kg, so let's put the kg unit next to the ? in the denominator.

[tex] \frac{0.427kg}{1}* \frac{?}{?kg} [/tex]

Now, glance back at your conversion rate and look at what the over unit is. In this case it is pounds (lb). So put that next to the ? in the numerator.

[tex] \frac{0.427kg}{1}* \frac{?lb}{?kg} [/tex]

The ? are to be filled in with the conversion rate. Meaning 2.2lb per 1kg. So wherever there is the unit for lb, you put 2.2 in. Same thing for the kg unit. 

[tex] \frac{0.427kg}{1}* \frac{2.2lb}{1kg} [/tex]

Multiply across. (Multiply the numerator by the numerator, and denominator by denominator!)

The problem can be rewritten as this: 
0.427kg * 2.2lb

The final answer to this problem is: 
0.427kg*2.2lb = 0.939

AKA: B

Rachel and Sierra are selling boxes of fruit as a fundraiser. Rachel has sold 9/10 boxes of fruit and Sierra has sold 2 has sold 5/8 of her boxes.which girl has sold a greater fraction of her boxes of fruit?Draw a model and Explain

Answers

Rachel sold more because 9/10 is equal to 0.90 and 5/8 is equal to 0.625.

Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?

Answers

Answer:

Worker 1: 46 parts

Worker 2: 40 parts

which is a factored form of 216p^3 + 125q^3?

Answers

Simple....

you have: [tex] 216p^{3} + 125p^{3} [/tex]

Simplify it by factoring out [tex] p^{3} [/tex]-->>

[tex] p^{3} (341)[/tex]

Or, just add it-->>

[tex] 341p^{3} [/tex]

Thus, your answer.

The factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]

To find the factored form of the expression [tex]\(216p^3 + 125q^3\)[/tex], we can use the sum of cubes formula:

[tex]\[ a^3 + b^3 = (a + b)(a^2 - ab + b^2) \][/tex]

Where a = 6p and b = 5q.

Substituting these values into the formula, we get:

[tex]\[ 216p^3 + 125q^3 = (6p)^3 + (5q)^3 \][/tex]

[tex]\[ = (6p + 5q)((6p)^2 - (6p)(5q) + (5q)^2) \][/tex]

[tex]\[ = (6p + 5q)(36p^2 - 30pq + 25q^2) \][/tex]

Therefore, the factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]

Complete question:

What is the factored form of 216p³+125q³?

The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x

Answers

Substitute the x for 2 and the y for 12 in each equation. The first choice works out. (12)=6(2), 12=12. This means the answer is true. A is your answer.

Larry Klaus withdrew $310.80 simple interest from an account after 4 years. If he invested $1,110.00, how much was his rate of interest?

7%
6%
4%
5%

Answers

7% is the answer to your question

Answer:

7% is the answer (hope this helps) or do you need explanations?

Step-by-step explanation:




Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.



What is the missing step of her solution?

Add 10.4 to both sides.
Add negative 10.4 to both sides.
Multiply both sides of the equation by 10.4.
Divide both sides of the equation by 10.4.
Mark this and return

Answers

Answer:  Last Option is correct.

Step-by-step explanation:

Since we have given that

[tex]2.3 + 8(1.3x-4.75) = 629.9[/tex]

We need to solve the above equation,

[tex]2.3 + 8(1.3x-4.75) = 629.9\\\\2.3+10.4x-38=629.9\\\\-35.7+10.4x=629.9\\\\10.4x=629.9+35.7\\\\10.4x=665.6\\\\\text{ Dividing 10.4 on both sides}\\\\x=\frac{665.6}{10.4}\\\\x=64[/tex]

Hence, Divide both sides of the equation by 10.4.

Therefore, Last Option is correct.

Answer:

D

Step-by-step explanation:

being timed help



What is the common ratio for the geometric sequence?



43,4,12,36,...

Answers

i'm assuming 43 is actually 4/3
see what number the previous term must be multiplied by to get the next term
4 *something = 12, 12*something=36
common ratio is 3

Find the inverse of f(x)=2x^2+5

Answers

f^-1(x) = sqrt 2(-5+x)/2, - sqrt 2(-5+x)/2

In which quadrant is point (4,5) located

Answers

The first quadrant, The quadrants start in the top right, then the top left, then the bottom left, the finally the bottom right.

That would be the second quadrant since both points are positive! Hope this helps, good luck and happy holidays!

(3a2 + 2a - 2) - (a2 - 3a + 7)

Answers

remember to distribute invibile -1
simlify 2nd part
-(a^2-3a+7)=-1(a^2-3a+7)=-a^2+3a-7

now we have
3a^2+2a-2-a^2+3a-7=
3a^2-a^2+2a+3a-2-7=
2a^2+5a-9

A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated. find p(b/not
a.

Answers

I believe this is incomplete what are the choices

Factor the expression.

t^2 - 14t + 49

Answers

(t-7)(t-7) is the answer !! :)
The right answer is (t-7)^2

How many years will it take for 2000 to double at a simple interest rate of 8%? explain how you found your answer

Answers

A = P(1+RT)
A (Future) = 2000(2) = 4000
P (Principal) = 2000
R (Rate) = 8% =.08
T (Time) = Unknown

Create the equation:
4000 = 2000(1+.08t)

Distribute the 2000:
4000 = 2000 + 2000(.08t)

Multiply the 2000(.08t):
4000 = 2000 + 160t

Subtract the 2000 from both sides:
2000 = 160t

Divide by 160:
12.5

Answer:
It will take 12.5 years (12 years and 6 months) to double the 2000 to double.

5 lollipops and 12 toffees have a mass of 61 grams and 10 lollipops and 13 toffees have a mass of 89 grams . Calculate the mass of one lollipop and one toffee

Answers

a - mass of the lollipop
b - mass of yhe toffee

5a + 12b = 61
10a + 13b = 89

10a = 89 - 13b
a = 8.9 - 1.3b

5*(8.9 - 1.3b) + 12b = 61
44.5 - 6.5b + 12b = 61
5.5b = 16.5
b = 3

a = 8.9 - 1.3*3 = 5

a = 5
b = 3

Lollipop has a mass 5g and toffee 3g

12 liters is about how many quarts

Answers

12.6803 would be the answer hope you get your homework/quiz 100%

What is the answer to 0.1 * n = 89.9 ?

Answers

divide both sides of the equation by 0.1 which leaves you with
n = 89.9/0.1 = 899

The Answer to this question is N=899
How? Let's solve your equation step by step.

0.1n=89.9

Step 1: divide both sides by 0.1.


0.1n = 89.9
0.1      0.1

so 89.9/0.1 we get

n=899

jack has no more than $24 to spend on DVD's for a party. Each DVD rents for $4. Find the maximum number of DVD's jack can rent for his party. answer must be written on a number line

Answers

Assuming he spends all the $24 on renting DVD's we can simply divide the money he has available with the price of each DVD in order to know how many he can buy.

$24/$4 = 6

Jack can rent a maximum of 6 DVD's

Answer:

Jack can rent a maximum of 6 DVD's

Step-by-step explanation:

Does it matter if you add azero when you divide a dcimal.

Answers

no, it won't change the outcome.

Answer:

no it does not matter

Step-by-step explanation:

If x=4, then 5x=20 select the property

Answers

Multiplication. When a variable is right next to a number and not as an exponent.
Final answer:

The property being used when substituting x=4 into the expression 5x to get 5*4=20 is the Substitution Property.

Explanation:

When given the statement If x=4, then 5x=20, we are looking at a basic arithmetic operation, specifically multiplication. The property illustrated here is known as the Identity Property of Multiplication, which states that multiplying any number by 1 gives the number itself. However, in the context of this problem, the property being used is actually the Substitution Property, where the value of a variable (x=4) is substituted into an expression (5x) to find its value (5*4=20).

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