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2 years ago

Suppose that $1200 is invested at 612%, compounded quarterly. How much is in the account at the end of 5 years?

Mathematics

1 answer:

asambeis [7]2 years ago

5 0

Answer:

$\$1,656.50$

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

$t=5\ years\\ P=\$1,200\\ r=6\frac{1}{2}\%=6.5\%=6.5/100=0.065\\n=4$

substitute in the formula above

$A=1,200(1+\frac{0.065}{4})^{4*5}$

$A=1,200(1.01625)^{20}$

$A=\$1,656.50$

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If mZBAC = (7x + 1) º and<br> mZBCA = (52 + 9) . what is the<br> measure of the vertex angle?

nata0808 [166]

<h3>Answer: 122 degrees</h3>

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

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

angle A = 7x+1 = 7*4+1 = 28+1 = 29
angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

3 0

2 years ago

(f/g)(x)and (f/g)(7)

Phoenix [80]

Answer:

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Step-by-step explanation:

Division operation of function: $If\ f(x)\ and\ g(x)\ are\ two\ functions\ then\ (\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

$Here\ we\ have\ to\ find\ (\frac{f}{g})(7)\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}$

Example:

$Take\ f(x)=3x^2+1,\ g(x)=x+1\\\\(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{3x^2+1}{x+1}\\\\f(7)=3\times 7^2+1\\\\f(7)=3\times 49+1\\\\f(7)=148\\\\g(7)=7+1\\\\g(7)=8\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}\\\\(\frac{f}{g})(x)=\frac{148}{8}$

7 0

3 years ago

1.A bag has 4 green blocks, 3 red blocks, 2 blue blocks, and 1 yellow block. Find the probability of randomly selecting a block

maks197457 [2]

Answer: 1) 7/10 2) 15 3) 240 4) 1/4 5) 4/9 6) 1/20 7) No, not independent

Step-by-step explanation:

1. 4 green+3red+2blue+1yellow = 10 total

if 3/10 are red, then 7/10 are not red. So the second option, 7/10

2. 3 cartons in every 40

40*5 = 200

so do 3*5 = 15

so 15 or the third option

3. 40 out of 110

110*6 = 660

so do 40*6 = 240

so 240 or the fourth option

Flipping heads: 1/2

rolling even: well, there is 2, 4, and 6, or 3 even numbers so 3/6 or 1/2

do 1/2*1/2 = 1/4

so 1/4 or the third option

5. Numbers more than 2: 3, 4, 5, 6 (4 numbers)

4/6 or 2/3 chance the first time, 2/3 chance the second time

do 2/3*2/3 = 4/9

so 4/9 or the second option

6. 5 dishes and 4 desserts

1/5 chance of picking the dish

1/4 chance of picking the dessert

do 1/5*1/4 = 1/20

so 1/20 or the fourth option

7. Since you don’t replace the marble after picking it, it affects the outcome of the second draw. Therefore the events are dependent, or not independent. So the second option.

7 0

3 years ago

Are there any limits to the value of Sine, Cosine and Tangent? if so, what are they and why?

worty [1.4K]

With Sine, Cosine, and Tangent there are no limits with the numbers you can use and they can be found on a calculator. When you press one of the 3 it will show up like:

Sine(
Cos(
Tan(

Than just add your number and press enter

8 0

2 years ago

I need help wt this pls do it asap

viktelen [127]

Answer:

7/4

Step-by-step explanation:

its d because 4/7 =7/4

6 0

3 years ago