Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in interest on the account.

No other money was deposited into or withdrawn from the account.

How much was her initial deposit?

Answers

Answer 1

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation:  The basic formula for simple interest is

i = prt  i is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p =  i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

Answer 2

Answer: $160.00

Step-by-step explanation: Answer confirmed on test

Safiya Deposited Money Into A Bank Account That Earned 6.5% Simple Interest Each Year. After 312 Years,

Related Questions

Can someone help me out on this?

Answers

Answer:

<NMP and <QPR

Step-by-step explanation:

Look up corresponding angle examples. these angles are corresponding.

Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Dom and Riley both want to find the change from the 6 AM temperature to the new 12 PM temperature. Dom says that you can use a number line and add the distances from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Riley says that you can subtract -1.4 from the 12 PM temperature. Is either Dom or Riley correct? Explain your reasoning and find the change in temperature.

Answers

Answer:

Neither Dom or Riley is correct

Step-by-step explanation:

The change in temperature between 12PM and 6AM can be obtained by subtracting the 12PM temperature from the 6AM temperature because temperature increases as the hours of the day go by.

To carry out this subtraction on the number line, the following steps should be taken;

(i) Mark the numbers corresponding to 6AM and 12PM temperatures on same number line.

(ii) From the number corresponding to the 12 PM temperature, find out how many steps that are needed to reach the position of the number corresponding to the 6AM temperature.

This number of steps represents the temperature change between the 12PM temperature and the 6 AM temperature.

a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?

Answers

Answer:

A Clydesdale drinks 840 gallons of water in 28 days.

Step-by-step explanation:

120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.

Yeah sorry I’mmmmm!!!

What is the choice?

A:1,6

B:2,3

C:3,3

D:1,5

Answers

[tex] {x}^{2} - 5x + 6 = 0[/tex]

[tex](x - 3)(x - 2) = 0[/tex]

[tex]x - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 2 = 0[/tex]

[tex] \: \: \: \: \: \: \: x = 0 + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 0 + 2[/tex]

[tex] \: \: \: \: \: \: \: x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 2[/tex]

[tex] \green {\boxed{Answer \: B}}[/tex]

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The phone company makes 2 defective phones for every 145 made. How many phones will be defective in a batch of 870 phones?

Answers

Answer: 12 defective phones

Steps: Divide 870 by 145.

870 ÷ 145 = 6

6 batches are in this amount. If 1 batch has 2 defective phones, then 6 batches have 12.

Therefore the amount is twelve.

Plz mark brainliest:)

Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?

Write the equation to be used to solve this equation.

Answers

Answer:

i think 4 attires

Step-by-step explanation:

HELP ASAP
Solve the equation for k:
p= k/K + t

Answers

Answer:

k = p(K+t)

Step-by-step explanation:

p = k/K+t // × (K+t)

p(K+t) = k

Answer:

k = K p - K t

Step-by-step explanation:

Solve for k:

p = k/K + t

p = k/K + t is equivalent to k/K + t = p:

k/K + t = p

Subtract t from both sides:

k/K = -t + p

Multiply both sides by K:

Answer: k = K p - K t


Rewrite the expression using a single, positive exponent: 9^3/9^9

Answers

Answer:

9⁻⁶

Step-by-step explanation:

When you're dividing, you subtract the exponents. So, 3-9=-6.

The expression 9³ / 9⁹ can be written as 9⁻⁶.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is 9³ / 9⁹. The expression can be solved as below:-

E = 9³ / 9⁹

E =  9³ x 9⁻⁹

E = 9³⁻⁹

E = 9⁻⁶

Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.

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(4x3y5z) (-6x5y4z) =

Answers

Answer:

-360y^9z^2

[tex]-360y^9z^2[/tex]

Step-by-step explanation:

Help pleaseeeee it’s dueeeeee

Answers

Answer:

The change is increased by 80%.

Step-by-step explanation:

Divide 36 by 45. This gives you 0.8. Divide 36 by 0.8 and multiply 45 by 0.8 to check your answer. So, it is increased by 80%. To find out how percents change, divide the first number by the second number. Then, take the decimal and move the decimal point over to the right two spaces, or multiply the entire number by 100.

which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"

Answers

Answer:

Let x be that number.

[tex] - 8 \div (x + 3)[/tex]

The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.

1/8 divided by 2 3/4

Answers

Answer:

2 and 1/8

Step-by-step explanation:

Reduce fractions where possible.

Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.

[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.

The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].

Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.

[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]

[tex]= \frac{11}{4}[/tex]

Now, we can rewrite the expression as:

[tex]\frac{1}{8} \div \frac{11}{4}[/tex]

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

[tex]\frac{1}{8} \times \frac{4}{11}[/tex]

Next, let's simplify the multiplication:

[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]

We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

[tex]\frac{4}{88} = \frac{1}{22}[/tex]

Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].

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which is the choice to the inequality below?
-x/9>4
A. x<4
B:x<-36
C.x<-0.44
D. x>-36

Answers

Answer:

x < -36

Step-by-step explanation:

-x/9>4

Multiply each side by -9, remembering to flip the inequality

-x/9 * -9 < 4*-9

x < -36

Select ALL the statements that are true about 22/7.
A.It is a rational number.
B.It is an irrational number.
C.When written as a decimal, it repeats.
D.It is an approximate value of Pi.
E.It is a terminating decimal.

Answers

Answer:

It is an approximate value of pi

Find the surface area of the cube shown below

Answers

Answer:

the answer is 37.5cm^2

Matthew scored 84 points in the first 6 games of the basketball season. How many points per game has Matthew scored?​

Answers

Answer:

He scored 14 points per game.

84/6

Step-by-step explanation:

Good luck!

Answer:

14

Step-by-step explanation:

To find the unit rate for the question you have to divide 84 by 6

Help me I need help fast it is due soon!

Answers

Answer:

400 square meters

Step-by-step explanation:

We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just [tex]bh[/tex], so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, [tex]16 \cdot 25 = \boxed{400}[/tex] square meters is our answer

Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Superscript negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?

Answers

Answer:

Step-by-step explanation:

Given the expression [tex](4z^8)^{-3}[/tex], to evaluate this, we will use one of the law of indices as shown;

[tex](a^m)^n = a^{mn}[/tex]

[tex]4^{-3} * z^{8*-3}[/tex]

[tex]= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}[/tex]

Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8

Answer:

The last one

Step-by-step explanation:

which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)

Answers

3b+b and 2(2b) would be it

Answer:

3b+b and 2(2b)

Step-by-step explanation:

BRAINLIEST APPRECIATED!

THANKS!

Solving each proportions 10/8=n/10

Answers

Answer:

n=12.5

Step-by-step explanation:

10/8=n/10

multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5

Liz is shipping a present to her friend. The shipping company charges one fee for the box, and another fee depending on the weight of the package. She pays $2 for the shipping box. The package weighs 9 pounds. If liz paid a total of $38, how much does the company charge per pound?

Answers

Answer:

$4 per pound

Step-by-step explanation:

given data

let the total charge be y

and let the number of pound be n

also let the charge per pound be p

we know that the expression for the total charges is given as

y=2+np

given that

y=$38

n=9

the expression the charges is now

38=2+9p

solving for p we have

38-2=9p

36=9p

p=36/9

p=4

therefore she is charged $4 per pound

Convert to a mixed number in simplest form 51/13​

Answers

Answer:

[tex]3\frac{12}{13}[/tex]

Step-by-step explanation:

51 / 13 = 3.9231 = 3

51 - (13 x 3) = 12

[tex]3\frac{12}{13}[/tex]

Answer:

3 12/13

Step-by-step explanation:

51/13

13 goes into 51 3 times

13*3 =39

51-39 =12

The 12 goes over the denominator

3 12/13

solve 3(x-4)=16+5x show work

Answers

Answer:

hi… I think it's written that way

which list shows the numbers 2/3, 9/11 and 7/9 arranged from least to greatest​

Answers

Answer:

2/3; 7/9; 9/11

Step-by-step explanation:

You have to divide them and you will get a decimal that is how you put them in numerical order

4. Solve for :
a) ķx = 4

Answers

factors of 4= 4,1 and 2,2 seeing as k and x are different numbers it must be 4 and 1 or -4 and -1

simplify
12+ 1233-987

Answers

Answer:

258

Step-by-step explanation:

Answer:

258

Step-by-step explanation:

Follow the order of PEMDAS

Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20

Answers

Answer:

3:4 and 15:20

Step-by-step explanation:

The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!

Gianna is paid $90 for 5 hours of work.
a. At this rate, how much would Gianna make for 8 hours of work?
b. At this rate, how long would Gianna have to work to make $600?

Use a ratio table to solve.

Answers

Answer:

a. $144

b. about 34 hours

Step-by-step explanation:

If Gianna is paid $90 dollars for 5 hours of work, that means that she is paid $18 an hour. So, 18x33 is 594, which means that 18x34 is $612.

Cassie has a rectangular window that is 40 Inches long and 25 inches wide. She wants to put a metal frame around the edges of her window. How many inches of metal frame will she need? Please help me​

Answers

Answer:

she will need 130 inches lf metal

Step-by-step explanation:

One side lf the window is 40 and the other side lf the window is 25 ,so just multiply those by 2.That will give you 50 and 80 just add those together and you get 130

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