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20 hours ago

15

Carmella wants to attend Bayside Community College. She'll need to have $25,000 six years from today. Carmella is wondering what

she'll have to put in the bank today so that she'll have $25,000 six years from now. Her bank pays 6% compounded semiannually. Using the tables in the textbook, determine the amount Carmella needs to deposit today.

2 answers:

zzz [9K]20 hours ago

8 0

To find out how much Carmella needs, divide 25,000 by 6, which yields the answer, with the remainder representing the cents.

Svet_ta [9.5K]20 hours ago

4 0

The amount required is $17,535; $25,000 divided by 1.4258 = $17,535.

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Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s

tester [8842]

Her phrasing suggests that she would sell numerous water bottles and just a single iced tea. The accurate equation should be 1.25x + 1.49y = 100, as she may offer varying quantities of both.

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1 month ago

A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit

Svet_ta [9500]

Given:

The temperature recorded at 10:00 am is 8 degrees Fahrenheit.

The temperature decreases by 3 degrees Fahrenheit each hour.

To find:

The temperature at 2:00 pm on the same day.

Solution:

Let y represent the temperature after x hours since 10:00 am.

The temperature at 10:00 am serves as the initial temperature.

Thus, the y-intercept of the linear equation is 8.

The temperature reduces by 3 degrees Fahrenheit every hour.

This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.

The slope-intercept form of a linear function is indicated by

$y=mx+b$

where m is the slope and b is the y-intercept.

Inserting m=-3 and y=8 into the above equation gives us the required values.

$y=-3x+8$

From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.

$y=-3(4)+8$

$y=-12+8$

$y=-4$

Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.

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1 month ago

Nilton acude a una institución privada que ofrece una tasa de interés del 0,5% mensual por el dinero que deposites, a un plazo f

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13 days ago

Three ships, A, B, and C, are anchored in the atlantic ocean. The distance from A to B is 36.318 miles, from B to C is 37.674 mi

Leona [9271]

Let's sketch the triangle.

The sides are a= 37.674 miles

b= 11.164 miles

c= 36.318 miles

We'll apply the cosine rule for angle calculations

(since the sine law cannot be employed without knowing any angle measurements).

The cosine law is given by

$c^{2} = a^{2} +b^{2} -2ab cos C$

Substituting the values results in

$(36.318)^{2} = (37.674)^{2} + (11.164)^{2} - 2(37.674)(11.164). Cos C$

$1318.997 = 1419.33 + 124.634 - 841.184. Cos C$

$1318.997 = 1543.964 - 841.184. Cos C$

$841.184. Cos C = 1543.964-1318.997$

$841.184. Cos C = 224.967$

$Cos C = \frac{224.967}{841.184}$

$cos C = 0.267$

C = 74.48°

We can find angle A using the sine law

$\frac{a}{SinA} = \frac{c}{Sin C}$

$\frac{37.674}{Sin A} = \frac{36.318}{Sin 74.48}$

$Sin A = \frac{37.674. sin 74.48}{36.318}$

$Sin A = \frac{37.674 X 0.963}{36.318}$

$Sin A = 0.998$

A= $sin^{-1} (0.998)$

A = 87.38°

The third angle B can be determined by calculating 180° minus the sum of angles A and C

$B = 180-(74.48 + 87.38)$

B = 180 - 161.86

B = 18.14°

Thus, we have calculated all three angles (as shown in the attached figure).

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28 days ago

What plane contains points E, F, and H?

PIT_PIT [9117]

B, the points E, F, and H are located at the bottom of the figure.

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16 days ago

Read 2 more answers