64.111111 rounded to the nearest penny

you hope to borrow $450,000 at 7% interest per annum compounded quarterly. You will repay the loan in one payment at the end of

Gnesinka [82]

Answer: 94500

Step-by-step explanation:

450,000 x 0.07 x 3 (pXrXt)

7 0

1 year ago

Buying with credit cards can cause major problems? true or false

barxatty [35]

Answer:

True

Step-by-step explanation:

It's so as people who use credit cards to pay for stuff rather than regular cash end up in debt.

8 0

2 years ago

Read 2 more answers

Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14

PilotLPTM [1.2K]

Answer:

<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

$N(t)=N_{0}e^{-\lambda t}$

Where:

No = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

$\lambda$ = The decay constant.

One important parameter related to radioactive decay is the half-life:

$\displaystyle t_{1/2}=\frac {\ln(2)}{\lambda }$

If we know the value of the half-life, we can calculate the decay constant:

$\displaystyle \lambda=\frac {\ln(2)}{ t_{1/2}}$

Carbon-14 has a half-life of 5,730 years, thus:

$\displaystyle \lambda=\frac {\ln(2)}{ 5,730}$

$\lambda=0.00012097$

The equation of the remaining quantity of Carbon-14 is:

$N(t)=N_{0}e^{-0.00012097\cdot t}$

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

$0.10N_o=N_{0}e^{-0.00012097\cdot t}$

Simplifying:

$0.10=e^{-0.00012097\cdot t}$

Taking logarithms:

$ln 0.10=-0.00012097\cdot t$

Solving for t:

$\displaystyle t=\frac{log 0.10}{-0.00012097}$

$t\approx 19,035\ years$

Carbon-14 will take 19,035 years to decay to 10 percent.

6 0

3 years ago

Read 2 more answers

I need help on this question please

Fynjy0 [20]

Answer: NEITHER

Step-by-step explanation:

From the equation of lines given above, to know if relationships exist between the two lines, we must first determine that from their gradients or slopes.

From first equation

2x - y = 5,

y = 2x - 5

Therefore, m₁ = 2

From the second equation

3x - y = 5

y = 3x - 5

Therefore m₂ = 3

Recall, For the two lines to be parallel, m₁ = m₂ , and for the two line to be perpendicular, m₁m₂ = -1

since none fulfilled the conditions stated above, the answer then is

NEITHER

5 0

3 years ago

157 29 Marks

AlekseyPX

Complete question :

Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15

Answer:

2/3, 7/10, 11/ 15, 4 /5

Step-by-step explanation:

In other to make solving the question easier, we can convert the fractions to decimal in other to make comparison easier :

7/10 = 0.7

2/3 = 0.667

4 /5 = 0.8

11 /15 = 0.733

Using the placement or how the numbers will appear to the right of a number line ;

0.667, 0.7, 0.733, 0.8

Thus we have :

2/3, 7/10, 11/ 15, 4 /5

3 0

3 years ago