A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.

Answer:

-4(2a + 3)

= -4a(2) -4(3)

= - 8a - 12

Hope it helps!

Step-by-step explanation:

-4(2a + 3)

= -4 × 2a + 3 × (-4) [-4 gets multiplied with both 2a and 3]

= -8a -12 (Ans)

Answer:

right triangle

Step-by-step explanation:

whenever there is a box in the corner it means its 90° and 90° is a right angle.

The first number is 3 and the second is 18

Answer: the answer is C

Step-by-step explanation:

My friend is a math teacher

Hope this helps

Answer:

x=y + 2

2

y=2(x - 1)

Step-by-step explanation:

y=2 x -2

swap sides so that all variable terms are on the left hand side

2x - 2 =y

add 2 to both sides

2x = + 2

Divide both sides by 2.

2 x = y + 2

2. 2

Dividing by 2 undoes the multiplication by 2.

x = y + 2

2

Divide y +2 by 2.

x = y + 1

2

Step-by-step explanation:

use the formula to calculate area of triangle.

Answer:

Step-by-step explanation:

They make it sound like it is 23 miles one way.

2(23)5(52)

11960 miles

Answer:

A

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

4/5 = .8

70% = .7

Answer:

4/5

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Using the angle addition postulate

angle 1+angle 2+angle 3=180

Angle 2 is 90 degrees,

Angle 1 is 2x degrees

Angle 3 is 3x degrees

Plug this into equation

[tex]2x + 90 + 3x = 180[/tex]

[tex]5x + 90 = 180[/tex]

[tex]5x = 90[/tex]

[tex]x = 18[/tex]

Plug 18 into 2x

[tex]2(18) = 36[/tex]

Answer: D

The answer is D, 16

Answer:

D is correct.

Step-by-step explanation:

welcome have a good day.

Answer:

152 miles

Step-by-step explanation:

Answer:

he drived around 300 mile

Answer:

the slope in line 1 is a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

→ Utilise the gradient formula

(y₂ - y₁) ÷ (x₂ - x₁)

→ Substitute in the numbers

(2 - -6) ÷ (1--1)

→ Simplify

4

Answer:

9

Step-by-step explanation:

3x+80=12x-1

80=12x-3x-1

80=9x-1

9x=80+1

9x=81

x=81/9

x=9

Answer:

1) The monthly payment is approximately $292.96

2) The total interest is approximately $2,061.84

Step-by-step explanation:

1) The financing method Nathan Reynolds applied to buy the car is given as follows;

The purchase price of the car = $15,000

The down payment made for the car = $3,000

The

The interest on the loan he took for the balance of the purchase price, R = 8%

The number of years for which he took the loan, n = 4 years = 48 months

We have;

The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)

∴ The balance of the purchase price = $15,000 - $3,000 = $12,000

The balance of the purchase price = $12,000 = The loan Nathan secured

The monthly payment on a loan is given by the following formula

[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]

Where;

A = The payment amount made  monthly

P = The principal or loan amount = $12,000

r = The interest rate divided by 12 = R/12 = 8/12 = 2/3

n = The number of months the monthly payment will be made = 48 months

By plugging in the variable values, we get;

[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]

Therefore, the payment amount made  monthly, A ≈ $292.96

2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84

The total payment made in the 48 months ≈ $14,061.84

The total interest = (The total payment made in the 48 months) - (The loan amount)

∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84

Step-by-step explanation:

Answer: Difference between five tmes a number and twelve is seven

Answer:

2/3 x 9 = 18 divided by 3 = 6

answer is 9

Exact Area = 25pi   square units

Approximate Area = 78.5  square units

The approximate value is found using pi = 3.14

====================================================

Explanation:

I think you meant to say "quarter circle" instead of "semicircle".

The area of a full circle with radius r = 10 is

A = pi*r^2

A = pi*10^2

A = pi*100

A = 100pi

But we only want one quarter of this. So we divide the full area by 4

(100pi)/4 = (100/4)pi = 25pi

The exact area in terms of pi is 25pi square units

If we used the approximation pi = 3.14, then we can say 25*pi = 25*3.14 = 78.5 is the approximate area

To get a better approximation, use more decimal digits in pi.

Answer:

Step-by-step explanation:

orms of volunteering can be applied to the different roles that people take within ... volunteer motivations and looks to develop a typology of sports volunteers. ... diversity for their effectiveness as a policy tool and for government support. ... International Journal of Sport Policy and Politics 4, 2, 187–200 . ... text, however. For .

Answer:

Step-by-step explanation:

Equation for line a:

x = - 4

Equation for line b:

x = 4

Equation for line c:

y = 4

Equation for line d:

y = - 2

Equation for line e:

y = − 0.75x + 1

Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward

Step-by-step explanation:

Answer:

PartA: /

PartB: __

PartC: / its this one but less steeper(the second to last answer on the right)

Step-by-step explanation:

Answer:

The answer is A. -4.

Step-by-step explanation:

The missing value you are looking for is the y-intercept or where the line crosses the y axis.

Answer:

P 2 134 2×384

Step-by-step explanation:

24×(345)3\

Answer:

D

Step-by-step explanation:

D

Answer:

D i think

Step-by-step explanation: