A $22,000 loan was taken out. If $24,805 is due at the end of the loan after being compounded daily at 2.5%, how many
years was the loan for? (Round to the nearest tenth of a year)
Provide your answer below

Answers

Answer 1

9514 1404 393

Answer:

  4.8 years

Step-by-step explanation:

Solving the compound interest formula for the number of years gives ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P invested at rate r compounded n times per year produces value A after t years.

  t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800

The loan was for 4.8 years.


Related Questions

Solve.
Simplify 7 to the fifth power times 4 to the 5th power

Answers

Answer:

7^5=16,807 and 4^5=1,024

The total number of branches in a tree diagram will be which of the following values?

the probability of an event occurring
the denominator of a probability
the numerator of a probability

Answers

Answer:

The total number of branches = total possibilities = the denominator of a probability.

So the second choice is correct.

Let me know if this helps!

Answer:

Step-by-step explanation: answer B (the denominator of a probability)

PLZ ANSWERRRRRRRRRRRRR

Answers

Step-by-step explanation:

there it is! hopefully it's visible and understandable

:)

Help Please
2(-1+-4)-d^2

Answers

−d^2 + 7
Hope this helps !

log, (x + y)=log, y, log, x .
Solve for question D only

Answers

Answer:

4.

Step-by-step explanation:

Change of base formula is

logb x = loga x / loga b

So logx 25 = log5 25 /log5 x

Now log5 25 = log5 5^2 = 2, so:

logx 25 = 2 / log5 x

So log5 x^2 * logx 25

= log5 x^2 * 2 /log5 x

= 2 log5 x * 2 / log5 x

= 4.

Is the following polynomial or not
5xy^2+3x^2y-2x^2y^2

Answers

9514 1404 393

Answer:

  is a polynomial

Step-by-step explanation:

The expression is a sum of products.

Each product involves a numerical value and a product of variables to positive integer powers.

These meet the requirements for an expression to be a polynomial, so ...

  the given expression is a polynomial

Diana get a gift card with a value of $55, and her favorite drink cost $2.20. How many plain black coffee can she buy with the gift card

Answers

Answer:

Twouufyjughgyuioiu567uhu888

Answer:

55/2.20=25 so 25 black coffees

Step-by-step explanation:

Please help me. 7th grade math.

Answers

Answer:

258square inches

Step-by-step explanation:

[AREA OF SHADED PORTION=TOTAL AREA -AREA OF INNER REGION.]

342-84

=258

Evaluate (657.3÷10)-(94.5÷5)

Answers

Answer:

Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83

I hope I helped you^_^

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is positive, when f(x)= (x + 7)(2x + 3)(x + 5). Choose all that apply
a. -∞ < x < 7
b. -7 < x < -5
c. -5 < x < -3/2
d. -3/2 < x < ∞

Answers

Answer:

b and d

Step-by-step explanation:

Find zero's:

x = -7x = -3/2x = -5

The intervals:

x < -7,  all negative, the result is negativex is between -7 and -5, two negatives, the result is positivex is between -5 and -3/2, one negative, the result is negativex is greater than -3/2, all 3 positives, the result is positive

As we see correct choices are b and d

Plz answer asap question in picture

Answers

Answer:

-1 <x < 7

(-1,7)

Step-by-step explanation:

open circle on the left means the number is greater than

-1 <x

Open circle on the right means the number is less than

x < 7

Since both statements are true. we combine them

-1 <x < 7

open circles means parentheses, closed circles mean brackets

is f(x)=e^-3x an exponential function?

Answers

Yes, because we have the number ‘e’ raised to x, although it is now -3x, it is still a variation of x

Which of the following situations describe the expression 3 / (4/5)?

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW​

Answers

Answer:

Choice D

Step-by-step explanation:

3 ÷ 4/5

We need to have 3 of something and divide it into 4/5

This eliminates choices B and C because those have 4/5 of something

Choice A is giving away which is subtracting

Choice D is 3 lbs divide into 4/5 lb groups

Which choice shows 14•(8 · 2) correctly rewritten using the associative property and then correctly simplified?
(14.8) · 2 = 112 · 2 = 224
(14 . 82) = 1, 148
14. (2.8) = 14 - 16 = 224
14.2.8 = 28. 8 = 224

Answers

Answer:

14.(8.2)= 14.16 = 224

Step-by-step explanation:

the answer is the first one

Give the digits in the tens place and the tenths place.
97.42

Answers

Answer:

9: tens place

4: tenths place

Step-by-step explanation:

(a) If y varies directly as x, and y=24 when x=16, find y when x=12.

(b) In a formula, z varies inversely as P. If Z is 200 when P is 4, find z when P is 10.

Answers

Answer:

(a) 18

(b) 80

Step-by-step explanation:

(a) let y=kx

so, 24=16k

or, k=24/16 or, k=3/2

now, putting x=12

y=kx

or, y=(3/2)×12

or, y=3×12/2

or, y=36/2

or, y=18

(b) let P=k/z

so, 4=k/200

or, k=800

when P = 10

P=k/z

or, 10=800/z

or, z=800/10

or, z=80

a) An orange weighs 155 grams.
What's the weight of the orange in kilograms?

Answers

Answer: 0.155

Step-by-step explanation:

g / 1000 = kilograms

155 / 1000 = 0.155

Simplify 1-31 +6+ (4 - 1). 8.
1.) 8
2.) 13
3.) 19
4.) 24

Answers

Step-by-step explanation:

By rule of bodmas rule

= 1 - 31 + 6 + 3 × 8

= 1 - 31 + 6 + 24

= 1 - 31 + 5 + 24

= - 30 + 5 + 24

= - 25 + 24

= -1

Now without using bodmas rule

= 1 - 31 + 6 + (4 - 1). 8.

=-30+6+4+(4-1)×8

=-23+4+(4-1)×8

=-19+4+(4-1)×8

=-15+(4-1)×8

=-15+3×8

=-15+24

=-9

MARK AS BRAINLIST IF IT IS USEFUL

WILL GIVE BRAINLIEST!!!

Answers

f(x) = 2/cos 2x

f(x) = 2/sin1x

f(x)=1/cos1/sin3

{x∣x ≠ π/4+πn/2} , for any integer n

Must click thanks and mark brainliest

Find the missing side lengths.

Answers

Answer:

x is 18, and y is 9 √ 3

Step-by-step explanation:

Since this is a right triangle that contains a 30 degree angle, we know this is a special right triangle, and the missing angle is 60 degrees since a triangle is 180 degrees, and 180 - 90 - 30 = 60.

The relationship is listed below:

The side opposite of the 30 degrees can be represented as a variable, say "p", and the hypotenuse which is x in your question is twice this. The side opposite of the 60 degree angle is x + √3

So x is 18, and y is 9√3

What is 2/6 times 1/6

Answers

Answer:

1/9

Step-by-step explanation:

2/6*1/6=2*1/6*6 or 1/9.

Answer:

1/18

Step-by-step explanation:

1. multiply across

2*1 and 6*6

2/36

2. divide by 2 to simplify

2/2 and 36/2

1/18

divide 111001 by 1101​

Answers

Based on the fact that you asked this three times and got the same answer three times, I suspect the interpretation made by the users that posted those answers was incorrect, and that you meant to ask about dividing in base 2.

We have

111001₂ = 1×2⁵ + 1×2⁴ + 1×2³ + 1×2⁰ = 57

1101₂ = 1×2³ + 1×2² + 1×2⁰ = 13

and 57/13 = (4×13 + 5)/13 = 4 + 5/13.

4 = 2² is already a power of 2, so we have

111001₂/1101₂ = 1×2² + 5/13

we just need to convert 5/13. To do this, we look for consecutive negative powers of 2 that 5/13 falls between, then expand 5/13 as the sum of the smaller power of 2 and some remainder term. For instance,

• 1/4 < 5/13 < 1/2, and

5/13 - 1/4 = (20 - 13)/52= 7/52

so that

5/13 = 1/4 + 7/52

or

5/13 = 1×2 ⁻² + 7/52

Then a partial conversion into base 2 gives us

111001₂/1101₂ = 1×2² + 1×2 ⁻² + 7/52

111001₂/1101₂ = 100.01₂ + 7/52

Continuing in this fashion, we find

• 1/8 < 7/52 < 1/4, and

7/52 = 1/8 + 1/104

==>   111001₂/1101₂ = 100.011₂ + 1/104

• 1/128 < 1/104 < 1/64, and

1/104 = 1/128 + 3/1664

==>   111001₂/1101₂ = 100.0110001₂ + 3/1664

• 1/1024 < 3/1664 < 1/512, and

3/1664 = 1/1024 + 11/13312

==>   111001₂/1101₂ = 100.0110001001₂ + 11/13312

• 1/2048 < 11/13312 < 1/1024, and

11/13312 = 1/2048 + 9/26624

==>   111001₂/1101₂ = 100.01100010011₂ + 9/26624

• 1/4096 < 9/26624 < 1/2048, and

9/26624 = 1/4096 + 5/53248

==>   111001₂/1101₂ = 100.011000100111₂ + 5/53248

and so on.

It turns out that this pattern repeats, so that

[tex]\displaystyle \frac{111001_2}{1101_2} = 100.\overline{011000100111}_2[/tex]

What are the common factors of 24 and 60

Answers

2 and 3 are the common factor of 24 and 60

I need help with this balance mobile please:)​

Answers

Answer:

blue 1

orange 5

green 3

I hope it is helpful and mark me as brainlest and follow me plz

For what values of K does the equation (2k+1)x^2 +2x= 10x - 6 have two real and equal roots.

Answers

Answer:

Step-by-step explanation:For what values of does the equation (2 + 1) have two 2

+ 2 = 10 − 6

real and equal roots?

A quadratic equation that has 2 roots that are equal means that the discriminant  of the equation is 0. The value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]

Given that:

[tex](2k + 1)x^2 + 2x = 10x - 6[/tex]

Rewrite as:

[tex](2k + 1)x^2 + 2x - 10x + 6 = 0[/tex]

[tex](2k + 1)x^2 - 8x + 6 = 0[/tex]

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

By comparison:

[tex]a=2k+1\\ b =-8\\\ c =6[/tex]

If an equation has 2 real and equal roots, then:

[tex]b^2 = 4ac[/tex]

So, we have:

[tex](-8)^2 = 4 \times (2k + 1) \times 6[/tex]

[tex]64 = 4 \times (2k + 1) \times 6[/tex]

Divide by 4

[tex]16 = (2k + 1) \times 6[/tex]

Divide by 6

[tex]\frac{16}{6} = (2k + 1)[/tex]

[tex]\frac{8}{3} = 2k + 1[/tex]

Subtract 2 from both sides

[tex]2k = \frac{8}{3} -1[/tex]

Take LCM

[tex]2k = \frac{8-3}{3}[/tex]

[tex]2k = \frac{5}{3}[/tex]

Divide by 2

[tex]k = \frac{5}{6}[/tex]

Hence, the value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]

Read more about real and equal roots at:

https://brainly.com/question/2535040

Find the 84th term of an arithmetic sequence if the first term and common
difference are given as:
ai = 3; d = -4
ag4 =
I
Next
Previous

Answers

Answer:

-329

Step-by-step explanation:

1st term a1 = 3, common difference d = -4

84th term,

3+(84-1)(-4)

= -329

9. If a card is selected from a standard 52 card deck. What is the probability of selecting a face card or an Ace?

Answers

Well, you’ve got 26 face cards, one of which is an ace, and an additional ace. 27/52 is 52%, so you’ve got a 52% probability (51.9230)

What is 1.25 x 10^8 in standard form?

Answers

Answer:

125000000

Step-by-step explanation:

1.25 x 10^8

Move the decimal 8 places to the right

1.25

We can move it two places

125

We need to add 6 more zeros

125000000

Answer: 125,000,000

Step-by-step explanation:

find the slope of the line (-3,-2) (1,6)

Answers

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)

m = [tex]\frac{6-(-2)}{1-(-3)}[/tex] = [tex]\frac{6+2}{1+3}[/tex] = [tex]\frac{8}{4}[/tex] = 2


Which two-dimensional shape is formed if a plane intersects the cylinder shown,
perpendicular to the base?
A) Circle
B) Square
C) Rectangle
D) Ellipse

Answers

9514 1404 393Answer:

  C) Rectangle

Step-by-step explanation:

In general, the vertical cross section of a "right" cylinder will be a rectangle. In some special cases, it may be a square.

Each intersection of the plane with the curved surface is a line, not a curve, so the shape cannot be a circle or ellipse.

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