Answer:
5.7in
Step-by-step explanation:
using Pythagorean theorem
c^2=a^2+b^2
c=9in ,a=7in,b=xin
9^2=7^2+x^2
81=49+x^2
x^2=81-49
x^2=32
x=√32
x=5.7in(to the nearest tenth)
Answer:
The time will be "3 years".
Step-by-step explanation:
The given values are:
Principle,
P = 5120
Amount,
A = 7290
Rate,
r = 12.5
Time,
n = ?
As we know,
⇒ ![A = P[1+\frac{r}{100} ]n](https://tex.z-dn.net/?f=A%20%3D%20P%5B1%2B%5Cfrac%7Br%7D%7B100%7D%20%5Dn)
On substituting the values, we get
⇒ ![7290=5120[1+\frac{12.5}{100} ]n](https://tex.z-dn.net/?f=7290%3D5120%5B1%2B%5Cfrac%7B12.5%7D%7B100%7D%20%5Dn)
On applying cross-multiplication, we get
⇒ ![\frac{7290}{5120}=[1+\frac{125}{100}\times 100 ]n](https://tex.z-dn.net/?f=%5Cfrac%7B7290%7D%7B5120%7D%3D%5B1%2B%5Cfrac%7B125%7D%7B100%7D%5Ctimes%20100%20%5Dn)
⇒ ![\frac{9}{8}\times 3=[8+\frac{1}{8} ]n](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B8%7D%5Ctimes%203%3D%5B8%2B%5Cfrac%7B1%7D%7B8%7D%20%5Dn)
⇒ 
Sequence 1 is <span>arithmetic because it is has a subtractive rate of change.
Sequence 2 is geometric because it has a multiplicated rate of change. </span>
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
Answer:
After 16 weeks she will have 145 dollars left in her account.
Step-by-step explanation:
since 145 represents the amount of money in her account we will substitute that for "y" and solve for "x"
145=-27x+577
145-577=-27x
-432=-27x
-432/-27= -27x/-27
16=x
