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PtichkaEL [24]
3 years ago
13

Manuel invested $10,000 in a savings account with a 3% interest rate that gets compounded daily. Write a model for Manuel to tra

ck/predict his money's value over time. In how many years will the value of the account be $12,000?
Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

It will take 6.2 years for the value of the account to be $12,000

Step-by-step explanation:

P x (1 + rn)          

Where P = Principal

r rate of interest

n = number of time interest is calculated in a year

$10,000 x (1.03)N = $12,000

(1.03)N = $12000 / $10000

(1.03)N = 1.2

Taking natural log,

N x ln 1.03 = ln 1.2

N x 0.0296 = 0.1823

N = 6.2 years

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at would be -3!!
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6 0
4 years ago
Malachy was thinking of a number. Malachy doubles it and gets an answer of 91.6. What was the original number?
zubka84 [21]

Answer:

45.8

Step-by-step explanation:

Say the number Malachy was thinking of is <em>x</em>.

Doubling it gives 2x, which we see also equals 91.6. Set these equal to each other:

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5 0
3 years ago
Read 2 more answers
Multiply the polinomials (x+4)(x^2-5x+3)
NeX [460]

Answer: x^3 + x^2 - 17x + 12

Step-by-step explanation:

(x+4)(x^2-5x+3)

x^3 - 5x^2 + <u>3x</u> + 4x^2 <u>- 20x</u> + 12

underlined and bolded can be combined

That leaves you with x^3 + x^2 - 17x + 12

7 0
4 years ago
Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 8.3 points. She also correc
Temka [501]

Answer:

12 correct answers

Step-by-step explanation:

Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a

Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:

Total score(main part)=8.3×a=8.3a points

She also solved a bonus question worth=11 points

Consider expression 1 below

The total score in the whole test=Total score in the main part+Bonus points, where;

Total score in the whole test=110.6 points

Total score in the main part=8.3a points

Bonus points=11 points

Substituting the values in expression 1:

8.3a+11=110.6

8.3a=110.6-11

8.3a/8.3=99.6/8.3

a=12

Number of correct answers in the main part=a=12

4 0
4 years ago
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