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3 years ago

An arithmetic sequence has a 10th term of 15 and 14th term of 35.

Mathematics

1 answer:

matrenka [14]3 years ago

8 0

10 th term= 15

a+ 9d = 15......(1)

14 th term = 35

a+ 13d = 35.....(2)

(2)-(1)

4d= 20

d= 5

put d= 5 in eq1

a+9d=15

a+9(5) = 15

a+45= 15

a= -30

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What is greater 145 ounces or 9 pounds.

vfiekz [6]

Answer:

145 ounces

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Step-by-step explanation:

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As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct

Ksju [112]

The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.

The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195

Reasons:

The given parameter are;

Loan amount, the principal, P = $9,900

Duration of the loan = 10 years

Loan interest rate, R = 4.29%

Required:

The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.

Solution:

Based on a similar question on an online source, we have;

Interest, I = P × R × T

Where;

T = The time = The time the freshman is in school + 6 months

Therefore, normally, we have;

T = 4 years + 6 months = 4.5 years

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Therefore;

Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195

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2 years ago

What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

The solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

Reducing to lowest terms, we get

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

In decimal form, we get

$\rightarrow \frac{-15}{4} = -3.75$

Thus the solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

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4 years ago

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