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nlexa [21]
3 years ago
12

You decide to put $175 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate

of 3% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?
Mathematics
1 answer:
myrzilka [38]3 years ago
7 0
The future value (A) of a principal amount P compounded 12 times per year at rate r for t years is given by
  A = P·(1 + r/12)^(12t)

Substitute the given values and solve for t.
  3000 = 175·(1 + .03/12)^(12t)
Taking logarithms, this becomes
  log(3000) = log(175) + 12t·log(1.0025)
  (log(3000) -log(175))/(12·log(1.0025)) = t
  t ≈ 94.84

It will take 95 years for the balance to grow by a factor of 17 to $3000.
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What is the value of x?
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The answer is 2.

This is because on the left side of the triangle, we can see that the original length is ten cm greater than the second variation. therefore, the other side would also be 10 cm greater than the other variation's side. 5(2)×10= 20, which keeps the triangle to scale.

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3 years ago
Convert 27/20 to a decimal
Tatiana [17]
27/20

= 20/20 + 7/20

= 1 + 7/20

= 1.00 + 0.35

= 1.35

------

List of values to remember (extras):

0.05 = 1/20 = 5%
0.10 = 1/10 = 10%
0.15 = 3/20 = 15%
0.20 = 1/5 = 20%
0.25 = 1/4 = 25%
0.30 = 3/10 = 30%
0.35 = 7/20 = 35%
0.40 = 2/5 = 40%
0.45 = 9/20 = 45%
0.50 = 1/2 = 50%
0.55 = 11/20 = 55%
0.60 = 3/5 = 60%
0.65 = 13/20 = 65%
0.70 = 7/10 = 70%
0.75 = 3/4 = 75%
0.80 = 4/5 = 80%
0.85 = 17/20 = 85%
0.90 = 9/10 = 90%
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8 0
3 years ago
Read 2 more answers
El volumen de un cubo, cuyos lados miden 4,5 cm corresponde a: A- 91 cm2 B- 91,1 cm C- 91 cm3
Leya [2.2K]

Answer:

La respuesta correcta es la opción C: 91 cm³.

Step-by-step explanation:

La fórmula del volumen de un cubo es la siguiente:

V = a^{3}

En dónde:

a: es cada lado del cubo = 4,5 cm

Entonces, el volumen del cubo es:

V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3}

Por lo tanto, la respuesta correcta es la opción C: 91 cm³.  

Espero que te sea de utilidad!

6 0
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