Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Answers

Answer 1

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.


Related Questions

Do you guys know this.

Answers

Answer:

0.77

Step-by-step explanation:

You solve the inner first, then move to the outer.

Plug in x = 20 for g(x) = [tex]\frac{2x+2}{x-6}[/tex]. It should give you [tex]\frac{42}{14}[/tex], which simplifies to 3.

You then need to solve f(x) with the given value from g(x), which is 3.

Plug in x = 3 for the equation [tex]\sqrt{0.4x^2-x}[/tex], and you should get [tex]\sqrt{0.6}[/tex].

The answer is roughly 0.77.

What is the sum of 347+645=

Answers

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

algebra help quick lol

Answers

Answer:

Its the top right one

Step-by-step explanation:

The polygons are similar. Find the value of X and Y

Answers

Answer:

X=8, Y=9

Step-by-step explanation:

9/6=1.5

12/1.5=8

6*1.5=9

PLS GIVE BRAINLIEST

A ​15 foot ladder is leaning against a​ building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder​ reach?
The ladder will reach
android:
nothing ft high up on the building.
​(Round to the nearest​ tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing

Answers

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

(1 pt)What is the vertex of the graph of
the function f(x) = x2 + 6x + 9?

Answers

Answer:

(-3,0)

Step-by-step explanation:

PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number} ​

Answers

Answer:

Since this graph is continuing, y must be any real number. So, d.

∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help

Answers

Answer:

∠1 = 124 degrees

Step-by-step explanation:

Vertical angles are always congruent

So ∠1  = ∠2

Answer:

Supplement of m∠1 = 56°

Step-by-step explanation:

Since both angles are vertical, they both equal to each other.

m∠2 = m∠1

        = 124°

To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.

Supplement of m∠1 = 180°-124°

                                 = 56°

if 8 identical items together weigh 30 kg, how much does each one weigh?​

Answers

Answer:

each weighs 3.75 minimum

Answer:

Each item weighs 3.75 kg, or 3 and 3/4 kg.

Step-by-step explanation:

divide the total weight by the total amount of items. 30/8=3.75

hope this helped! :)

Rewrite −x−6 with a positive exponent. Assume x is not equal to zero.

Answers

Answer:

= -1/x^6

Explanation:

Using the concept negative rule of exponents.

-x^-6 = -1/x^6

Hi. :) if you are a "Blink" what album should i get? ​

Answers

Answer:

Changes

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

♡ let's kill this love! ♡

you should definitely get "the album."

it has a very good rating and its great ☆

stan blackpink for clear skin, have a great day!

-madi/madeline

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a standard deviation of 100. Assume that the SAT scores are normally distributed. What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
b) between 450 and 675?

Answers

Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =[tex]\mu = 500[/tex]

Standard deviation = [tex]\sigma = 100[/tex]

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

At x = 450

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

2. What is the place value of the 5 in 3562? ​

Answers

Answer:

Hundreds Place

Step-by-step explanation:

The 5 is in the hundreds place.

Hope this helps :D

3 is the thousands place

5 is the hundreds place

6 is the tens place

2 is the ones place

You tell me the answer.

Follow the steps below to choose an equivalent expression for 15n – 20 using the distributive property. Use the work below to help you.

1. Find the GCF of the terms.

The GCF of 15n and 20 is 5.

2. To factor out the GCF, divide each term in the expression by the GCF.

15n ÷ 5 = 3n and 20 ÷ 5 = 4

Which expression is equivalent to 15n – 20?
2(8n – 6)
6(2n – 9)
5(3n – 4)
5(4n – 3)



PLS HELP MEEEEHHHH

Answers

Answer:

5(3n - 4)

Step-by-step explanation:

The GCF of 15 and 20 is 5, so 5 is on the outside of the parentheses. 15/5 = 3, so the term is 3n. 20/5 = 4, so the other term is 4. Put it all together and you have 5(3n - 4)

Answer:

5(3n - 4)

Step-by-step explanation:

Edge 2020

Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?


Answers

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

Which ordered pair would form a proportional relationship with the point graphed below?

(10.-20)
(-30, 20)
(-10,5)
(35, -20

Answers

The third option but can also be the first option, The would proportionate properly.

The diameter of Saturn at its equator is about 120,540,000 meters. What is 120,540,000 written in word form?

Answers

Answer:

Step-by-step explanation:

Onehundred twenty-million-fivehundred forty thousand

Is 4/10 closer to 0, 1, 1/2

Answers

Answer:

1/2

Step-by-step explanation:

Divide the denominator in half

10/2 = 5

4 is close to 5 so 4/10 is close to 1/2

Answer:

4/10 is closer to 1/2.

Think of a pie. There are 10 slices total, but only 4 slices remain, because I ate them all! Do you think that 4 out of 10 slices would be closer to a whole pie or half a pie? It would be closer half a pie.

Further explanation:

If you were to round the number 44 to the closest ten, it would be 40. If you were to round 47 to he nearest ten, it would be 50. If you were to round 45 to the nearest ten, it would also be 50. I hope this helps!

Half (1/2) is the answer.

For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is approximated by the function below. Find the maximum blood pressure and the disage at which it occurs.

B(x)= 395x^2- 2370x^3, 0 <= x <= 0.16

a. The maximum is obtained for a dosage of __________________.
b. The maximum blood pressure obtained is ______________.

Answers

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625

On a map , 1 inch represents 10 feet . How many inches would represent 35 feet .

Answers

Answer:

3 and a half inches or 3.50 inches

Step-by-step explanation:

if ten feet is 1 inch 30 feet would be 3 inches, 5 feet would make a half a inch since 10 feets divided by 2 is 5. one inch divided by 2 is 0.50 inches (or a half)

there for the answer is 3 and a half inches

because 1 inch represents 10 feet, that would equal to 3 inches, and then half of an inch 3.5 inches

What is f(4) for the function f(x)= 6x+7?

Answers

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

plz do this ill mark brainly​

Answers

Answer:

7+(−2) = 7 − 2 = 5

Step-by-step explanation:

Answer:

The Positive number has to be greater than the negative number you are adding with.

Example(s):

-30 + 35 = 5

-65 + 70 = 5

y= p2 + qr write p in terms of y, q and r

Answers

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

$120 less than half of d dollars

Answers

Answer:

[tex]\frac{d}{2} - 120[/tex]

Step-by-step explanation:

You work backwards:

Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.

Answer:

1/2d-120

Step-by-step explanation:

Alright.

d=amount of money

1/2d=half of the amount of money

1/2d-120=half of the money minus 120

What is the solution to the inequality f + 4 < 2?

Answers

Answer: f=-2

Step-by-step explanation:

math

Answer:

f < -2

Step-by-step explanation:

Solve the inequality 2 (x - 2) +8.6 < 14.​

Answers

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

PLEASE HELP I WILL GIVE YOU A BRAINLIEST! During a basketball game, Tom attempted 25 shots and made 9. He says he made 40% of the shots he took. Is Tom correct? Explain your reasoning using complete sentences.

Answers

Answer:

Correct I think

Step-by-step explanation:

9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.

y-4=-x+7 in standard form.​

Answers

Answer:

Step-by-step explanation:

x + y = 11

Formed from sentences P and Q, the sentence P or Q is a

A) biconditional.
B) complementary.
C) conditional
D) disjunction.

Answers

Answer c I think

Step-by-step explanation:

Solve the formula 5x + 2y = 19 for y

Answers

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[tex]5x + 2y = 19[/tex]

Subtract sides 5x

[tex] - 5x + 5x + 2y = - 5x + 19[/tex]

[tex]2y = - 5x + 19[/tex]

Divide sides by 2

[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]

[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]

[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]

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The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

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.

Given expression is 5x + 2y = 19. The value of y will be calculated as:-

5x + 2y = 19

2y = 19 - 5x

y = ( 19 / 2 ) - ( 5x / 2 )

Therefore,  the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

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