2. John has written too many checks

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

Vedmedyk [2.9K]

Answer:

Part 1) Is a exponential growth function

Part 2) $A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

Part 3) $\$6,107.01$

Part 4) $\$13,591.41$

Step-by-step explanation:

Part 1) What type of exponential model is Natalie’s situation?

What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$P=\$5,000\\r=10\%=0.10$

substitute in the formula above

$A=5,000(e)^{0.10t}$

Applying property of exponents

$A=5,000(1.1052)^{t}$

therefore

Is a exponential growth function, because the base is greater than 1

Part 2) Write the model equation for Natalie’s situation

$A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

see Part 1)

Part 3) How much money will Natalie have after 2 years?

For t=2 years

substitute

$A=5,000(e)^{0.10*2}=\$6,107.01$

Part 4) How much money will Natalie have after 10 years?

For t=10 years

substitute

$A=5,000(e)^{0.10*10}=\$13,591.41$

5 0

3 years ago

Numerical WebAssign will do simple calculations for you, using +, -, *, /, parentheses, and e-notation. For example, if a questi

user100 [1]

Answer:

140·80=11200

Step-by-step explanation:

From exercise we have example for how we find half the sum of 246 and 388, we can enter "(246+388)/2".

Based on this example, we will calculate what is required in the task using a calculator. So we use a calculator to find the product of the following numbers, 140 and 80.

We calculate, and we get

140·80=11200

3 0

4 years ago

CHECK MY ANSWERS PLEASE!!

lukranit [14]

Answer:

1. A) OPS is congruent to RSU

2. C) RSP is congruent to TSU

Step-by-step explanation:

1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.

✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.

❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.

❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.

OPS and TSU are also not congruent.

2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:

C) RSP is congruent to TSU

5 0

3 years ago

A solution of ibuprofen contains 150g in 800ml. What is the percent strength of this solution?

Sliva [168]

Answer:

18.75 percent

Step-by-step explanation:

150 / 800 x 100 = 18.75

5 0

2 years ago

Tell whether the sequence is geometric 31, 213, 4459, 637, 91,....

Lubov Fominskaja [6]

Answer:

No.

Step-by-step explanation:

If it is geometric the quotient of the terms and the previous term will be a constant.

213 / 31 = 6.871

4459 / 213= 20.93

These are not equal so the sequence is not geometric.

4 0

3 years ago