look at pic 10 pts will mark brainilest

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

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

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

2 years ago

The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h<k. Point P is the m

Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = $\frac{1+5}{2}$ = $\frac{6}{2}$ = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of P = (3, - 12 )

6 0

3 years ago

Read 2 more answers

Solve for 2: 2x + 62° 52 + 38° 2 =

Paladinen [302]

Answer:

The answer is 8°

Step-by-step explanation:

2x + 62° = 5x + 38°

2x – 2x + 62° – 38° = 5x – 2x + 38° – 38°

24° = 3x

3x = 24°

3x/3 = 24°/3

x = 8°

Thus, The value of x is 8°

-TheUnknownScientist 72

8 0

1 year ago

Given the value of cos 20° ≈ 0.9397, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of

NARA [144]

cos(20) = sin(70)

note how 20+70 = 90

The general rule is that if x+y = 90, then cos(x) = sin(y). The rule works in reverse as well. Another way to phrase the rule is cos(x) = sin(90-x).

So,

$\cos 20^{\circ} = \boxed{\sin 70^{\circ}} \approx \boxed{0.9397}$

Note: if the computer doesn't like the answer of "sin 70" then try "sin(70)" and see how that works out. It's also possible that the teacher wants the single numeric value of "70" in the first box rather than the "sine" part to go along with it. Though that would be strange and incorrect since cos(20) = 70 is a false statement.

8 0

3 years ago

A laptop is $891.99 before sales tax. If the sales tax rate is 7.5%, find the total of the laptop WITH the sales tax included.

padilas [110]

You add .75 to 891.99

6 0

3 years ago

￼look at pic 10 pts will mark brainilest

look at pic 10 pts will mark brainilest