12 over 16, 30 over 40

Jason writes the following function to represent the amount of money in his account after 7 years given quarterly compounding of

Scrat [10]

Answer:

$f(t) = 2430(1 + \frac{0.16}{4} )^{7 \times 4}$

The APR is 16%.

Step-by-step explanation:

Jason writes the following function to represent the amount of money in his account after 7 years given quarterly compounding of the $2430 initial deposit as

$f(t) = 2430(1.04)^{28}$ ......... (1)

a. If we want to rewrite the equation in the form

$f(t) = A(1 + \frac{r}{n} )^{nt}$ .......... (2)

Then comparing equation (1) and (2) we get, A = 2430 and t = 7

Hence, 7n = 28

⇒ n = 4

Now, $1 + \frac{r}{4} = 1.04$

⇒ r = 0.16 i.e. 16%

Therefore, the expression is

$f(t) = 2430(1 + \frac{0.16}{4} )^{7 \times 4}$ (Answer)

b. The APR is 16%. (Answer)

8 0

3 years ago

Jane is one of 50 students to take a standardized math test that includes 100 multiple choice questions. If she has the highest

Nat2105 [25]

Her score would be 90 present

3 0

4 years ago

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Jen and Brandy are studying soil. They each collected a sample of soil from the front yard of the school and then analyzed its c

Andrews [41]

Answer:

A. They should discuss their results and try to figure out why they are different.

May I have Brainliest once you confirm that it's correct?

8 0

3 years ago

Read 2 more answers

The area of one rectangle is 36 square

Nitella [24]

Answer:

A

1

=

x

⋅

y

⇒

36

=

x

⋅

y

⇒

x

=

36

y

A

2

=

x

⋅

z

⇒

21

=

x

⋅

z

⇒

x

=

21

z

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In each part that follows, you are given an equation of a line and a point. Find the equation of the line through the given poi

Semmy [17]

Answer:

a) $y=-\frac{1}{9}x$

b) $y-2=-\frac{1}{3} (x-1)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.

Point slope: $y-y_1=m(x-x_1)$

a) $m\neq 9$ in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=-\frac{1}{9}$ .

We will substitute $m=-\frac{1}{9}$ and $x_1=0\\y_1=0$ .

$y-0=-\frac{1}{9} (x-0)$

This simplifies to:

$y=-\frac{1}{9}x$

b) The equation y=3x+4 follows y=mx+b. For the perpendicular line, $m\neq 3$ . We will need to change it into its negative reciprocal which is $m=-\frac{1}{3}$ .

We will substitute $m=-\frac{1}{3}$ and $x_1=1\\y_1=2$ .

$y-2=-\frac{1}{3} (x-1)$

4 0

3 years ago