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Anestetic [448]
3 years ago
10

Keith has $500 in a savings account at the beginning of the year. he wants to have at least $150 in the account by the end of Ju

ne. He withdraws $30 each week for food and gas. write an inequality that represents Keith's situation​
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer:

500 - 24x ≥ 150

Step-by-step explanation:

It is given that there is a $500 balance in Keith's savings account at the start of the year.

By the end of June, he must have a $150 balance in his account.

Now, there are (6 × 4) = 24 weeks from the start of January to the end of June.  

If he withdraws $x per week, then the inequality that shows Keith's situation will be 500 - 24x ≥ 150 ..... (1) (Answer)

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If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce
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Answer:

Rate of Decay = 8%

Step-by-step explanation:

The decay formula is:

F=P(1-r)^t

Where F is the final value (here, it is given as "Y")

P is the initial value (here, given as 20,000)

r is the rate of decay (what we need to find)

t is the time (given as 2)

Comparing both the equations:

F=P(1-r)^t\\Y=20,000(0.92)^2

We see that:

1 - r  =0.92

We solve for "r":

1 - 0.92 = r

0.08 = r

The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:

0.08 * 100 = 8%

Rate of Decay = 8%

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3 years ago
How many triangles can be constructed with angles measuring 120°, 40°, and 10°?
balu736 [363]
Any kind of Triangle must have 180 degree of angle in total if it is not, then it is not a Triangle.

In short, Your Answer would be Zero

Hope this helps!
6 0
3 years ago
Read 2 more answers
What is the missing length.
nasty-shy [4]

Answer:

KS = 12

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, \frac{KL}{KR} = \frac{KM}{KS} (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

\frac{65}{13} = \frac{60}{KS}

Cross multiply

65*KS = 60*13

65*KS = 780

\frac{65*KS}{65} = \frac{780}{65}

KS = 12

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3 years ago
Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at
faltersainse [42]

A binomial probability density function should be used to represent the probability

<h3>How to determine the type of probability density?</h3>

The given parameters are:

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The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

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When there are two possible events, then the binomial probability density function should be used

Read more about binomial probability density at:

brainly.com/question/15246027

#SPJ1

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