(5, 14) and (18,3)? Helppppppppp

Sean's house is currently worth $188,900. According to a realtor, house prices in Sean's neighborhood will increase by 4.8% ever

mrs_skeptik [129]

Answer

Given

Sean's house is currently worth $188,900.

According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.

To prove

Formula

$Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}$

Where r is the rate in the decimal form.

As given

$Take\ Principle\ = P_{0}$

$Rate = \frac{4.8}{100}$

= 0.048

Put in the formula

$Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}$

$Compound\quaterly\ interest = P_{0} (1 + \frac{0.048}{4})^{4t}$

$Compound\quaterly\ interest = P_{0} (1 + 0.012)^{4t}$ $Compound\quaterly\ interest = P_{0} (1.012)^{4t}$

Now also calculated monthly.

Formula

$Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}$

As given

$Take\ Principle\ = P_{0}$

$Rate = \frac{4.8}{100}$

= 0.048

Put in the formula

$Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}$

$Compound\ monthly = P_{0} (1 + 0.004)^{12t}$

$Compound\ monthly = P_{0} (1.004)^{12t}$

As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .

Thus Option (A) is correct.

i.e

The expression $(1.0118)^{4t}$ reveals the approximate quarterly growth rate of the value of Sean's house.

6 0

4 years ago

Read 2 more answers

I need both of these questions answered I also HATE links so please don’t put any down(;´༎ຶٹ༎ຶ`)

Mademuasel [1]

The first one is 12.5%

the second one is .18

3 0

3 years ago

A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

$t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150$

substitute in the formula above

$I=P_1(r_1t)+P_2(r_2t)$

$1,150=x(0.0525*1)+(25,000-x)(0.04*1)$

Solve for x

$1,150=0.0525x+1,000-0.04x$

$0.0525x-0.04x=1,150-1,000$

$0.0125x=150$

$x=\$12,000$

$|$25,000-x=\$13,000$

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0

3 years ago

Read 2 more answers

Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22

Katena32 [7]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-4x-3)-(7x-3) =22 Equation

Step 2

(-4x-3)-(7x-3) =22 Simplify

-11x=22

Step 3

-11x=22 Divide

Answer

x=-2

5 0

3 years ago

The formula for finding the number of bacteria present is given by P=P0(10)t where P is the final population, P0 is the initial

frozen [14]

Answer:

5.45 hours.

Step-by-step explanation:

The formula =

P = P0(10)t

In this circumstance, P0 = 275, P = 15,000 and t = ?

Applying the values into the formula:

P = P0(10)t

15,000 = 275 × (10) × t

15,000 = 2750t

t = 15,000/2750

t = 5.45 hours

3 0

3 years ago