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algol13
4 years ago
8

You buy a lily in an African violet on the same day. Your instruments award of the nearly every fourth day and one of the violen

t every seventh day after taking them home. What is the first date on which you will water both plants on the same day? How can you use this answer to determine each of the next days you were watered both plants on the same day?
Mathematics
1 answer:
BaLLatris [955]4 years ago
6 0
Okay so you will water them at the same time in 28 days because that's the lowest common multiple 4 and 7 have. You will determine the next time you water the plants on the same day when you reach the next common multiple which is 84 I believe.
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how much would $500 invested at 5% interest compounded continuously be worth after 8 years? Round your answer to the nearest cen
yawa3891 [41]
Use the formula for continuous compounding:

A = Ce^(r*t), where r is the annual interest rate as a decimal fraction.

Here,

A = $500*e^(0.05*8) = $745.91   (answer)
8 0
3 years ago
Read 2 more answers
What is 45 ones times 10? <br><br> Choices are:<br> 45 hundreds<br> 45 tenths <br> or 45 tens.
Lisa [10]
45 * 10 = 450 or 45 tens
6 0
4 years ago
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Two automobiles left simultaneously from cities A and B heading towards each other and met in 5 hours. The speed of the automobi
USPshnik [31]

Answer:

The distance between the two is:

d=1600km

Hope this helps! :)

Step-by-step explanation:

so, we know A and B left at the same time, one from city A and the other from city B, they're both moving towards each other, and they met in 5hrs.

now, by the time they met, car A has been running for 5hrs already,

and car B has also been running for 5hrs, so the time for both is the same, when they met, each had been running for 5hrs

if B has a speed rate of "r", then A's speed rate is " r - 10"

now, the next to last paragraph

"If the first automobile had left city A 4 1/2 hours earlier than the other automobile left city B, then the two would have met 150 km away from B."

IF, a big if, but they didn't, they left at the same exact time, so that's just an IF

if A had left 4 1/2 hrs earlier, they'd had met 150km from B

so... by the time A had been running already for 4.5 hrs, car B starts off, goes off and they meet 5hrs later, when they meet, car A would have been running for 5hrs, 4.5 + .5 hrs, but car B would had been running for only half an hour when they met

that means car B met car A half an hour later from when it started, and met A 150kms away from its starting point

that means car B can cover 150km in just half an hour

that gives us a speed rate of 150/.5  

which is 300kmh

now, if car B is 300kmh, car A has r-10, or 300-10, or 290kmh

so, car A's rate is really just 290

now, let's say the total distance is AB

so, by the time car A had been running for 5hrs, it had covered a distance of "d"

by the time car B had been running for 5hrs, it had then covered the slack, or " AB - d "

7 0
3 years ago
oday, everything at a store is on sale. The store offers a 20% discount. **NUMBERS ONLY. NO SYMBOLS.** a. The regular price of a
lutik1710 [3]

Answer:

Discount price of T-shirt is $14.40

Regular price of hat is $22.50

Step-by-step explanation:

The regular price, without a discount, of the T-shirt is $18. Since the store offers a discount of 20%, we must remove 20% of the price.

100%-20%=80%. So, the discount price is 80% of the regular price.

18 × 80% = 14.4

So, the discount price of the T-shirt is $14.40.

The hat, on a discount of 20%, costs $18. To find the regular price, we must multiply it by the reciprocal of 80%, which is 100/80, or 1.25.

1.25 × 18 = 22.5

So, the regular price of the hat is $22.50.

6 0
3 years ago
A researcher is interested in estimating the savings account balance of customers at a large bank. She obtains the savings accou
a_sh-v [17]

Answer:

The 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).

Step-by-step explanation:

A (1 - <em>α</em>)% confidence interval for true mean (<em>μ</em>), when the population standard deviation is known is:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

If the population standard deviation is not known, then the confidence interval for true mean is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}

A 95% confidence interval for true mean is an interval estimate of the population mean. The interval has 0.95 probability of consisting the true value of the population mean.

It is provided that the 95% confidence interval for mean, based on a sample of size 30 is ($3402.08, $4142.75).

This interval implies that the true mean value is between $3402.08 and $4142.75 with 95% confidence.

Thus, the 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).

7 0
4 years ago
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