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1 year ago

What is the total amount due after 6 months on an initial loan of $1,400 at 12.5% annual interest.

Mathematics

2 answers:

DochEvi [55]1 year ago

5 0

Answer: $1487.50

Step-by-step explanation:

hey there again!

Facts:

Principal (starting amount): $1,400

Annual interest rate: 12.5% of the principal. Whenever you get an annual interest rate as a percentage, its always that percentage of the starting amount.

Time given: 6 months, 1/2 a year

the question asks "total amount due' in 6 months. Basically, we want to know how much they will have in their account after 6 months.

Step 1: Find how much interest he will get in 6 months as a percentage.

6 months is 1/2 of a year, so find 1/2 of 12.5

1/2 of 12.5

1/2 x 12.5

0.5 x 12.5

6.25%

Step 2: Find how much interest he gets, but as a number.

Principal: $1400

6.25% of 1400= $87.50

Step 3: Find the total amount of money he will have after 6 months.

he starts with 1400, and gets an additional $87.50 added to his account after 6 months. How much does he have now?

To answer this, add to find the total:

87.50+1400= $1487.50

viktelen [127]1 year ago

4 0

The answer is 1487.50 :)

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Solve the equation algebraically for all values of X

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2 years ago

Which line best represents the line of best fit for this scatter plot? (5 points)

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2 years ago

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

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2 years ago

What is the value of x (X+40) (3x) A. 20 B. 35 C. 60 D. 70

shtirl [24]

Answer: A. 20 is the answer.

Step-by-step explanation:

x+40 = 3x

or, 40 = 3x-x

or, 2x = 40

or, x = 40/2

so, x = 20

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2 years ago

The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying a

dybincka [34]

Answer:

The equation $35x+93\frac{3}{4} =190$ gives average time spent on 35 rehearsals.

Step-by-step explanation:

We are supposed to find that what question does the equation $35x+93\frac{3}{4} =190$ finds answer of.

We can see that 35x represents time spent on 35 rehearsals and $93\frac{3}{4}$ is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

$35x+\frac{375}{4} =190$

After subtracting $93\frac{3}{4}$ hours from 190 hours we will get time spent on 35 rehearsals.

$35x =190-\frac{375}{4}$

$35x =\frac{760-375}{4}$

$35x =\frac{385}{4}$

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

$x =\frac{96.25}{35}=2.75$

Therefore, equation $35x+93\frac{3}{4} =190$ finds average time spent on 35 rehearsals.

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2 years ago

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