The worth of Sarah's investment when she is 68 is $14,728.51.
<h3>What is the worth of the investment?</h3>
The formula that can be used to determine the worth of the investment is:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years = 68 - 18 = 50
$500 x (1.07)^50 = $14,728.51
To learn more about future value, please check: brainly.com/question/18760477
Answer:
1/4, 25%, or 0.25
Step-by-step explanation:
Therefore, as each suit contains 13 cards, and the deck is split up into 4 suits, that leaves us with a 13/52 chance to pick a spade.
That fraction is equivalent to 1/4, so that leaves us with a probability of picking a spade at:
1/4, 25%, or 0.25
Answer:
3
Step-by-step explanation:
It's given that ΔDEF ∼ΔXYZ . So the corresponding sides of both triangles will be proportional to each other.
![= > \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz}](https://tex.z-dn.net/?f=%20%20%3D%20%20%3E%20%5Cfrac%7Bde%7D%7Bxy%7D%20%20%3D%20%20%20%20%5Cfrac%7Bef%7D%7Byz%7D%20%20%3D%20%20%5Cfrac%7Bdf%7D%7Bxz%7D%20)
DE = 4 ; XY = 4(n + 1) ; EF = 5 ; YZ = 7n - 1
Putting all these values gives ,
![\frac{4}{4(n + 1)} = \frac{5}{7n - 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B4%28n%20%2B%201%29%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B7n%20-%201%7D%20)
![= > \frac{1}{n + 1} = \frac{5}{7n - 1}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%5Cfrac%7B1%7D%7Bn%20%2B%201%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B7n%20-%201%7D%20)
![= > 7n - 1 = 5(n + 1)](https://tex.z-dn.net/?f=%20%3D%20%20%3E%207n%20-%201%20%3D%205%28n%20%2B%201%29)
![= > 7n - 1 = 5n + 5](https://tex.z-dn.net/?f=%20%3D%20%20%3E%207n%20-%201%20%3D%205n%20%2B%205)
![= > 7n - 5n = 5 + 1](https://tex.z-dn.net/?f=%20%3D%20%20%3E%207n%20-%205n%20%3D%205%20%2B%201)
![= > 2n = 6](https://tex.z-dn.net/?f=%20%3D%20%20%3E%202n%20%3D%206)
![= > n = \frac{6}{2} = 3](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20n%20%3D%20%20%5Cfrac%7B6%7D%7B2%7D%20%20%3D%203)
Answer:
m∠8 = 49°
Step-by-step explanation:
∠7 and ∠8 are same-side interior angles.
Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.
Let's use the variable 'x' to represent the unknown measure of angle ∠8.
![131 +x=180](https://tex.z-dn.net/?f=131%20%2Bx%3D180)
(cancels itself out)
![180-131=49](https://tex.z-dn.net/?f=180-131%3D49)
![x=49](https://tex.z-dn.net/?f=x%3D49)
Therefore, the measure of ∠8 is 49°.
Last one 9 46/180
It's actually pretty basic