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1 year ago

Retangular form of r=8 sin theta

Mathematics

1 answer:

ipn [44]1 year ago

8 0

Answer:

Step-by-step explanation:

r2=x2+y2,tanθ=yx,x=rcosθ,y=rsinθ

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Find the solution(s) of 6x – 9 = 33x

Nookie1986 [14]

Answer:

C. x = 3/13

Step-by-step explanation:

7 0

3 years ago

Christian evaluated the expression, but his teacher told him he made a mistake.

NeX [460]

(24-3) + 18
21 + 18
39

6 0

3 years ago

Find the amount in the bank after 7 years if interest is compounded quarterly?

qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0

3 years ago

Label if it is binomial or monomial or trinomial

zvonat [6]

Answer:

Binomial

Trinomial

Monomial

Binomial

Monomial

6 0

3 years ago

A certain car model has a mean gas mileage of 28 miles per gallon with a standard deviation 5 mpg. Suppose nothing is known abou

professor190 [17]

<span>the probability that the average mileage of the fleet us between 27.2 and 28.8 will be:
27.2<x<28.8
this will be:
P(x<28.8)-P(x<27.2)
To evaluate this we use the z-score formula:
P(x<28.2)=P(z<Z)
Z=(x-</span>μ)/σ
μ-mean
σ-standard deviation
thus
z=(28.2-28)/5=0.04
thus
P(x<28.2)=0.5160

p(x<27.2
z=(27.2-8)/5=-0.16
P(z<-0.16)=0.4364
thus
P(x<28.8)-P(x<27.2)=0.5160-0.4364=0.0796

Answer: 0.0796

3 0

4 years ago