14.12.2022

Shota invest $200 in a certificate of deposit that earns 2% in interest each year
Write a function that gives you the total value V(t)

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Mathematics

Shota invests $2000 in a certificate of deposit that earns 2% in interest each year.Write a function that gives the total v(t) in dollars of the investment t years from now

Step-by-step answer

P Answered by Specialist

The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal × $( 1.02) ^ {time}$ where v(t) is the interest after t years .

Step-by-step explanation:

Principal amount invested by Shota is $2000.

Interest is earned at 2% per year.

Time for which the principal is invested is t years.

Therefore let the total interest be v(t) dollars in t years.

Case 1: Simple Interest.

v(t) = (principal × time × $\frac{r}{100}$ ) = (2000 × t × 0.02) = 40t

Case 2: Compound Interest.

v(t) = Principal × $( 1+ \frac{r}{100}) ^ {t}$ - Principal = 2000 × $( 1.02) ^ {t}$ - 2000.

Mathematics

Shota invests $2000 in a certificate of deposit that earns 2% in interest each year.Write a function that gives the total v(t) in dollars of the investment t years from now

Step-by-step answer

P Answered by Specialist

The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal × $( 1.02) ^ {time}$ where v(t) is the interest after t years .

Step-by-step explanation:

Principal amount invested by Shota is $2000.

Interest is earned at 2% per year.

Time for which the principal is invested is t years.

Therefore let the total interest be v(t) dollars in t years.

Case 1: Simple Interest.

v(t) = (principal × time × $\frac{r}{100}$ ) = (2000 × t × 0.02) = 40t

Case 2: Compound Interest.

v(t) = Principal × $( 1+ \frac{r}{100}) ^ {t}$ - Principal = 2000 × $( 1.02) ^ {t}$ - 2000.

Mathematics

Shota invests $2000 in a certificate of deposit that earns 2% in interest each year write a function that gives the total value V(t), in dollars, of the investment t years from now

Step-by-step answer

P Answered by PhD

V(t)=2000(1.02)^t

Step-by-step explanation:

To solve the problem, we use the compound interest formula.

The formula that gives the total value V(t) of the investment after t years is:

V(t) = V_0(1+r)^t

where

V_0 is the initial value of the investment

r is the interest rate

t is the time (in years)

V(t) is the value of the investment after t years

In this problem:

$V_0=\$2000$ is the initial investment

$r=2\% = 0.02$ is the interest rate

Substituting, we find the final expression for this problem:

V(t)=2000(1+0.02)^t

which can be reduced to

V(t)=2000(1.02)^t

Mathematics

Shota invests $2000 in a certificate of deposit that earns 2%, percent in interest each year. write a function that gives the total value v(t) in dollars, of the investment t years from now.

Step-by-step answer

P Answered by PhD

For this case we have a function of the form:
y = A (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
V (t) = 2000 (1.02) ^ t

a function that gives the total value V (t) in dollars, of the investment t years from now is:
V (t) = 2000 (1.02) ^ t

Mathematics

Shota invests $2000 in a certificate of deposit that earns 2%, percent in interest each year. write a function that gives the total value v(t) in dollars, of the investment t years from now.

Step-by-step answer

P Answered by PhD

Mathematics

Shota invests $ 2000 $2000dollar sign, 2000 in a certificate of deposit that earns 2 % 2%2, percent in interest each year. Write a function that gives the total value V ( t ) V(t)V, left parenthesis, t, right parenthesis, in dollars, of the investment t tt years from now.

Step-by-step answer

P Answered by PhD

Answer: V(t)= 2000(1,02)^t.

Explanation:
For this case we have a function of the form:
y = A (b)^t.
Where,
A: initial amount;
b: growth rate;
t: time.
Substituting values we have:
V(t)=2000(1.02)^t.
A function that gives the total value V (t) in dollars, of the investment t years from now is:
V(t)=2000(1.02)^t.

Mathematics

Shota invests $2000$2000dollar sign, 2000 in a certificate of deposit that earns 2 %2%2, percent in interest each year. Write a function that gives the total value V(t)V(t)V, left parenthesis, t, right parenthesis, in dollars, of the investment ttt years from now. Do not enter commas in your answer. V(t)=V(t)=V, left parenthesis, t, right parenthesis, equals

Step-by-step answer

P Answered by PhD

Correct questions: Shota invests $2000 in a certificate of deposit that earns 2%, percent in interest each year. Write a function that gives the total value V(t) in dollars, of the investment t years from now.

Answer: a function that gives the total value V (t) in dollars, of the investment t years from now is:
V(t)=2000*(1.02)^t.

Explanation:
For this case we have a function of the form:
y = A (b) ^ t.
Where,
A: initial amount;
b: growth rate;
t: time.
Substituting values we have:
V(t) =2000(1.02)^t.

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD