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2 years ago

Terrance Scott deposited a check for $299.45 and a check for $229.52. He received $42.00 in cash. What was his total deposit?

1 answer:

5 0

Since we know the amounts of each check, what I find easiest to do is add the amounts from each check to get an amount of $528.97. Once I've done that, I subtract the amount he received, $42.00 from the $528.97 to get a total deposit amount of $486.97

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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that

mezya [45]

Answer:

The formula to the sequence

-5, 10/3, -20/9, 40/27, -80/81, ...

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

Step-by-step explanation:

The sequence is

-5, 10/3, -20/9, 40/27, -80/81, ...

By inspection, we see the following

- The numbers are alternating between - and +

- The numerator of a number is twice the numerator of the preceding number. The first number is 5.

- The denominator of a number is 3 raised to the power of (1 minus the position of the number)

Using these, we can write a formula for the sequence.

(-1)^n for n = 1, 2, 3, ... takes care of the alternation between + and -

5×2^(n-1) for n = 1, 2, 3, ... takes care of the numerators 5, 10, 20, 40, ...

3^(1-n) for n = 1, 2, 3, ... takes care of the denominators 1, 3, 9, 27, ...

Combining these, we have the formula to be

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

8 0

1 year ago

A car uses 3t gallons of gasoline to travel 5 miles.

Nadusha1986 [10]

Answer: a) $\frac{24}{5}t gallons$ are needed to travel 8 miles

b) Town X and town Y are 15 miles apart.

Step-by-step explanation:

Given : Gasoline used to travel 5 miles = 3t gallons

a) To find: Gasoline used to travel 8 miles = ?

Using unitary method:

If Gasoline used to travel 5 miles = 3t gallons

Thus Gasoline used to travel 8 miles = $\frac{3t}{5}\times 8=\frac{24}{5}t gallons$

$\frac{24}{5}t gallons$ are needed to travel 8 miles

b) when 3t gallons of gasoline are used , distance covered = 5 miles

Thus when 9t gallons of gasoline are used , distance covered = $\frac{5}{3t}\times 9t=15 miles$

Thus town X and town Y are 15 miles apart.

6 0

2 years ago

The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.0

uysha [10]

Answer:

a) 20%

b) 40%

c) Mean = 62.5 seconds; Variance = 52.083 seconds

Step-by-step explanation:

The time it takes a hematology cell counter to complete a test on a blood sample is continuously distributed over the period of 50 to 75 seconds with probability f(x) = 0.04.

a) The percentage of tests require more than 70 seconds is:

$P(X>70) = 1- \frac{70-50}{75-50} \\P(X>70) =0.2 = 20\%$