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3 years ago

Carter Fenton is planning to borrow $1,600 from Christine

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

Maturity value = $1,635

Step-by-step explanation:

Find the Future Value (FV) amount using simple interest formula;

FV= [Principal * rate * Time] + Principal

Principal = 1600

rate= 7.5% or 0.075

Time = 105 days/ 360 = 0.291667

Therefore, FV = (1600 * 0.075 * 0.291667] +1600

FV= 35+1600

FV= $1,635

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katrin2010 [14]

Answer:

Step-by-step explanation:

-12 = -3/4x + 3

-9 = -3/4x

-9 = (-3/4) times x

-9 = (-3/4) times 12

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3 years ago

Which correlation should be used to measure the relationship between gender and grade point average for a group of college stude

Alecsey [184]

I believe the correct answer would be A. The best correlation to use to measure the relationship between gender and grade point average for a group of college students would be the point-biserial correlation. It is coefficient that is used when a variable is dichotomous or that the variable is part of a whole set. It is used in measuring the direction of the correlation that is present between a dichotomous variable and a continuous variable. From the question, the dichotomous variable would be the grade point average for a group of college students while the other variable is the continuous one.

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3 years ago

Read 2 more answers

Saul wrote Olive a check for $296.45, and Olive deposited the check into her

statuscvo [17]

Answer:

A the front of her check only

Step-by-step explanation:

When you receive a check the back doesn't have anything on the back that you write on hope this helps.

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2 years ago

What is an equivalent ratio to 3/5?

Elza [17]

Answer:

6/10

Step-by-step explanation:

multiply 3/5 by any whole number ratio equal to 1 to obtain an equivalent fraction.

(2/2)*(3/5) = 6/10

or (3/3)*(2/5) = 9/15

etc.

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3 years ago

In the trapezoid ABCD (AB∥CD) point M∈AD, so that AM:MD=3:5. Line L ∥AB and going through point M intersects diagonal AC and leg

siniylev [52]

Answer:

$\dfrac{AP}{PC}=\dfrac{3}{5}$

$\dfrac{BN}{CN}=\dfrac{3}{5}$

Step-by-step explanation:

Consider triangles AMP and ADC. In these triangles,

angle A is the common angle, so $\angle MAP\cong \angle DAC$ by reflexive property;
angles AMP and ADC are congruent as corresponding angles when two parallel lines MP and CD are cut by transversal AD.

Hence, triangles AMP and ADC are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

$\dfrac{AM}{AD}=\dfrac{AP}{AC}\\ \\\dfrac{3x}{3x+5x}=\dfrac{AP}{AC}\\ \\\dfrac{AP}{AC}=\dfrac{3}{8}\Rightarrow AP=\dfrac{3}{8}AC\\ \\PC=AC-AP=AC-\dfrac{3}{8}AC=\dfrac{5}{8}AC,$

$\dfrac{AP}{PC}=\dfrac{\frac{3}{8}AC}{\frac{5}{8}AC}=\dfrac{3}{5}$

Consider triangles ACB and PCN. In these triangles,

angle C is the common angle, so $\angle ACB\cong \angle PCN$ by reflexive property;
angles ABC and PCN are congruent as corresponding angles when two parallel lines PN and AB are cut by transversal BC.

Hence, triangles ACB and PCN are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

$\dfrac{CP}{AP}=\dfrac{CN}{CB}\\ \\\dfrac{5x}{3x+5x}=\dfrac{CN}{CB}\\ \\\dfrac{CN}{CB}=\dfrac{5}{8}\Rightarrow CN=\dfrac{5}{8}CB\\ \\BN=BC-CN=BC-\dfrac{5}{8}BC=\dfrac{3}{8}BC,$

$\dfrac{BN}{CN}=\dfrac{\frac{3}{8}BC}{\frac{5}{8}BC}=\dfrac{3}{5}$

4 0

2 years ago