1. Find 1/8 x 2/3 *

Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an

Brut [27]

Answer:

Anna will need to deposit $\$9,050.25$

Step-by-step explanation:

we know that

The compound interest formula is equal to

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

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

n is the number of times interest is compounded per year

in this problem we have

$t=2\ years\\A=\$10,000\\ r=0.05\\n=12$

substitute in the formula above and solve for P

$10,000=P(1+\frac{0.05}{12})^{12*2}$

$10,000=P(1.0042)^{24}$

$P=10,000/(1.0042)^{24}$

$P=\$9,050.25$

8 0

2 years ago

Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.

xxMikexx [17]

Answer:

0.3009 is the probability that the applicant has graduate degree given he is a male.

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

$n(M) = 206$

Number of applicants that are male and have a graduate degree = 62

$n(M\cap G) = 62$

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(M) = \dfrac{206}{450} = 0.4578$

$P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378$

We have to find the probability that the applicant has graduate degree given he is a male.

$P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009$

Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.

5 0

2 years ago

A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be

ioda

Answer: The answer is 3573.64

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 19000

r=rate = 11.25%=0.1125

Exponential Decay:

b=1-r=1-0.1125=0.8875

Write Exponential Function:

y=19000(0.8875)^x

Plug in time for x:

y=19000(0.8875)^14

y= 3573.6388855

Evaluate :

y≈3573.64

5 0

3 years ago

Which equation models the problem below if c represents the number of puppies whose eyes are closed?

True [87]

First you must take into account the variable that is being defined for this case:
c = represents the number of puppies whose eyes are closed.
We can then write the following equation:
15 = 11 + c
Rewriting the equation:
11 + c = 15
Clearing c:
c = 15-11
c = 4
4 puppies have their eyes closed
Answer:
11 + c = 15
4 puppies have their eyes closed

6 0

2 years ago

Read 2 more answers

Mr. Simpson feeds his dog

Liono4ka [1.6K]

Answer:

The total of 4 cups lasts 8 days to Mr. Simpson.

Step-by-step explanation:

The 1/2 cups of food lasts 1 day

⇒ 1 cup of food lasts = $(\frac{1}{\frac{1}{2} })$ = 2 days.

Now, Mr. Simpson has 4 cups.

So, 4 cups last him = 4 x 2 days = 8 days

Hence, a total of 4 cups lasts 8 days to Mr. Simpson.

7 0

2 years ago