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g100num [7]
3 years ago
9

When g ( t ) = 3 t 2 + 2 t + 1 , evaluate g ( − 4 )

Mathematics
2 answers:
Luda [366]3 years ago
7 0

Answer:

Just substitue every 't' with -4

Step-by-step explanation:

g(-4) = 3*(-4)*(-4) + 2*(-4) + 1

g(-4) = 64-8+1

g(-4) = 57

Rus_ich [418]3 years ago
6 0

Answer:

<u>g</u><u>(</u><u>-</u><u>4</u><u>)</u><u> </u><u>is</u><u> </u><u>4</u><u>1</u>

Step-by-step explanation:

g(t) = 3 {t}^{2}  + 2t + 1

when t is -4, substitute -4 in place of t:

g( - 4) = 3 {( - 4)}^{2}  + 2( - 4) + 1 \\ g( - 4) = 48 - 8 + 1 \\ g( - 4) = 41

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Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest. compounded weekly. What is the value of the CD a
blsea [12.9K]

Answer:

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.

This means that P = 5000, r = 0.0375

Compounded weekly

An year has 52 weeks, so n = 52

Then

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 5000(1 + \frac{0.0375}{52})^{52t}

What is the value of the CD at the end of the 4 years?

This is A(4). So

A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86

The value of the CD at the end of the 4 years is $5,808.86.

6 0
3 years ago
Three times b less than 100 is equal to the product of 6 and b
MissTica
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castortr0y [4]

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3 years ago
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vitfil [10]
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