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makvit [3.9K]
2 years ago
9

Mrs. Powell has $800 invested in stocks and $500 invested in a Certificate of Deposit. The CD has an interest rate twice as grea

t as the stocks. If her annual interest on these two investments is $45, at what rate of interest is the $500 invested?
Mathematics
2 answers:
Mashutka [201]2 years ago
7 0
Let's use the variable "r" to represent the investment rate of the stocks:
2r(500) + r(800) = 45
1000r + 800r = 45
1800r = 45
r = 0.025
2r = 0.05
The $500 is invested at 5%
vodomira [7]2 years ago
6 0

Answer:

$500 at 5%

Step-by-step explanation:

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Answer: H is the correct answer

Step-by-step explanation:

First, Kendra deposited $78 into her savings. Then, she added $50 more which is 128. She withdraw $27 and was left with $101

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2 years ago
A city distributes vehicle identification stickers using a combination of letters followed by a combination of​ digits, each of
gayaneshka [121]
A) 672750
B) 68250
C) 2960100

Explanation
A)  We have 26 letters from which to choose 4, and 10 digits from which to choose 2:
_{26}C_4\times_{10}C_2=\frac{26!}{4!22!}\times\frac{10!}{2!8!}=14950\times45=672750

B) We have 26 letters from which to choose 2, and 10 digits from which to choose 4:
_{26}C_2\times_{10}C_4=\frac{26!}{2!24!}\times\frac{10!}{4!6!}=325\times210=68250

C) We have 26 letters from which to choose 5, and 10 digits from which to choose 2:
_{26}C_5\times_{10}C_2=\frac{26!}{5!21!}\times\frac{10!}{2!8!}=65780\times45=2960100
5 0
2 years ago
Jackie collects data from two different companies each company have for employees the data is listed in the table below which of
Crazy boy [7]
•one of the salary amounts in company B is potentially an outlier.
• the median salaries of both companies are greater than 31000
•the mean salary at company B is greater than company A's
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2 years ago
Read 2 more answers
An astronaut on the moon throws a baseball upward. the astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is
marta [7]

Answer:

Step-by-step explanation:

The position function is

s(t)=-2.7t^2+50t+6.5 and if we are looking for the time(s) that the ball is 10 feet above the surface of the moon, we sub in a 10 for s(t) and solve for t:

10=-2.7t^2+50t+6.5 and

0=-2.7t^2+50t-3.5 and factor that however you are currently factoring quadratics in class to get

t = .07 sec and t = 18.45 sec

There are 2 times that the ball passes 10 feet above the surface of the moon, once going up (.07 sec) and then again coming down (18.45 sec).

For part B, we are looking for the time that the ball lands on the surface of the moon. Set the height equal to 0 because the height of something ON the ground is 0:

0=-2.7t^2+50t+6.5 and factor that to get

t = -.129 sec and t = 18.65 sec

Since time can NEVER be negative, we know that it takes 18.65 seconds after launch for the ball to land on the surface of the moon.

4 0
1 year ago
What is the common difference for the arithmetic sequence?<br><br> 4.7, 6, 7.3, 8.6, 9.9, …
Hitman42 [59]
6-4.7=1.3
7.3-6=1.3
8.6-7.3=1.3
.
.
.
d=1.3
-------------------------------------------------
a1=4.7
a2=a1+(n-1)d
6=4.7+1d→d=1.3
5 0
2 years ago
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