1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
geniusboy [140]
3 years ago
13

Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t

ake for the account balance to reach 1,844.38?
Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

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

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

You might be interested in
A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, s
Nikitich [7]
I’m so hungry gurlll like stop playinn
4 0
3 years ago
4.56- 3.2= how much. is it
morpeh [17]
4.56 - 3.2 equals 1.36. Hope this helps
4 0
3 years ago
Read 2 more answers
20 points!!! first answer gets brainliast. Don't need too much explanation thank you!​
KengaRu [80]

Answer:

The answer to your question is below

Step-by-step explanation:

2. \sqrt{-128}                Just find the prime factors of 128 and simplify

   \sqrt{-2^{7}} = \sqrt{-2^{6} 2} = 2^{3}i \sqrt{2}

   8i\sqrt{2}

3.- \sqrt{-9} + \sqrt{-16}     Get the square roots and simplify

     3i + 4i

     7i

4.- None of the choices is equal to one, because the exponents are pair.

5.- 1/3x² + 10 = 7

    1/3x² = 7 - 10

    1/3x² = -3

         x² = -3(3)

         x² = -9

         x = ±3i

8 0
3 years ago
The bacteria in a jar triple every 20 seconds. after three minutes, there are 275,562 bacteria in the jar. how many were in the
Lilit [14]
I believe this is correct

7 0
3 years ago
Please help ASAP<br> Will give Brainliest <br> Want explanation
lara [203]

Answer:

1.73 or 3+√6/√3+√2

Step-by-step explanation:

1. Simplify the Numerator...3+ the square root of 6 cannot be simplified, so the answer is 5.45

2. Simplify the Denominator.

17 \sqrt{3}  - 2 \sqrt{4}  \sqrt{4}  \sqrt{2}  + 3 \sqrt{9}  \sqrt{2}  - 4 \sqrt{4}  \sqrt{4}  \sqrt{3}  =  17 \sqrt{3}  - 8 \sqrt{2}  + 9 \sqrt{2}  - 16 \sqrt{3}  =    \sqrt{3}  + \sqrt{2}  = 3.15

3. Divide. 5.45/3.15= 1.73

3 0
3 years ago
Other questions:
  • Which of the following expressions is the conjugate of a complex number with −6 as the real part and −5i as the imaginary part?
    11·2 answers
  • Find the volume of a cube that will hold sixty-four 4.19 in^3 toy bouncy balls
    6·1 answer
  • Please answer this correctly please
    6·1 answer
  • Skyler buys 8 T-Shirts and 5 hats for $220. The next day, he buys 5 T-shirts and 1 hat for $112. What is the cost of each T-shir
    15·2 answers
  • Which expression is equal to the expression below?<br> (7•2)7
    6·2 answers
  • Lixins monthly income consists of a basic salary of $500 and a commission of 4percent on her sales for the month.If her income i
    9·1 answer
  • Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len
    13·1 answer
  • PROBLEMSS DOWN THERE ON THE PICTURE!!
    9·2 answers
  • What is the value of 2|2-9|-3(4+2)?<br> A. -32<br> B. -26<br> C. -15<br> D. -5 <br> E. -4
    6·1 answer
  • Solve ~<br><img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B2%7D%20%20-%205x%20%2B%206%20%3D%200" id="TexFormula1" title="x {}^
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!