50 points. Can anyone help me. If you can show me how you did it for the assgnment.

Step-by-step explanation:

A=P(1+0.084) ^n;

=5500(1

The payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.

Interest rate = 8.4/4 =2.1% = 0.021 every 3 months

The debt of $5500 is due in 27 months.

The formula to find the compound interest is  [tex]FV=PV(1+r)^{n}[/tex].

Now, [tex]PV=FV(1+r)^{-n}[/tex].

The payment now:

5500*(1.021)^-9 = $4561.7450

So if $5500 is due in 27 months its current value is $4561.7450.

( b) 15 months from now? 5 quarters  

FV(15months)= 4561.75*1.021^5

4561.75*1.021^5 = $5061.28

(c) 27 months from now? 9 quarters

FV(15 months)= $5500  that was given in the question

Verification:

FV(27months)=4561.75*1.021^9

4561.75*1.021^9 = $5500.00595

(d) 36 months from now?   12 quarters

FV(36months)=4561.75*1.021^12

4561.75*1.021^12 = $5853.83

Therefore, the payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.

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Answer:

8  

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

The formula for solving for sin is opposite side/hypotenuse.

The opposite side of <A is BC (28 units) and the hypotenuse is AB (53 units).

sin A = 28/53

A = sin^-1(28/53) --> To remove the sin, you have to multiply the inverse of sin on both sides.

A ≈ 41

Hope this helped! <3

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

Answer:

224 pounds

step by step :

one person eat 56 pound and we have four person so we must say that :

56 × 4 = 224 pounds

Answer:

314

Step-by-step explanation:

Answer:

x = 70

Step-by-step explanation:

The sum of the angles of a triangle add to 180

65+45+x = 180

Combine like terms

110+x = 180

Subtract 110 from each side

x = 180-110

x = 70

Answer:

The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°

Step-by-step explanation:

Answer:

£1350 & £3150

Step-by-step explanation:

[tex]3x+7x=4500\\10x=4500\\x=450\\\\3(450)=1350\\7(450)=3150[/tex]

Answer:

m<ABO = 22 deg

Step-by-step explanation:

A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.

m<O + m<B = 90

68 + m<B = 90

m<B = 22

Answer: m<ABO = 22 deg

Answer:

35 minutes

Step-by-step explanation:

The is calculated using the Subtraction operation

The number of minutes longer the team practiced today than yesterday =

Number of minutes they practiced today - Number of minutes they practiced yesterday

Number of minutes they practiced today = 3 hours 15 minutes

Number of minutes they practiced yesterday = 2hours 40 minutes

The number of minutes longer the team practiced today than yesterday =

3 hours 15 minutes - 2hours 40 minutes

= 35 minutes

Therefore, the team practiced 35 minutes longer today than yesterday

Answer:

y=5x-9

Step-by-step explanation:

-5(-3)+b=6

15+b=6

B=-9

Answer:

pls help me tooo answer that

Answer:

I think the answer is the blue box

Answer:

Step-by-step explanation:

First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.

Total Students = 3 + 12 + 2 + 7 = 24 students

Probabilities:

does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5%  (multiply decimal by 100 to get percentage.

Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%

Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%

Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%

Answer:

Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.

Step-by-step explanation:

Multiplying x by a number greater than 1 will stretch the parabola.

Changing x from positive to negative and vice versa reflects the parabola over the x-axis.

Answer:

d 180 miles

Step-by-step explanation:

4.5×40= 180 miles

The actual distance to college Lisa and Susan going together is 180 miles.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The map scale is 1 in. = 40 mi.

Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.

Therefore,

The actual distance to college is,

= (4.5×40) miles.

= 180 miles.

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Answer:

A

Step-by-step explanation:

sin θ=3/8

θ=sin ^{-1}(3/8)

≈22.02 °

Answer:

About 22 degrees

Step-by-step explanation:

Since we are given the opposite side measurement to the angle we wish to find and the hypotenuse measurement, we will want to use sine.

sin(theta)=3/8

theta=arcsin(3/8)

theta=22.024 approximately

Answer:

120° = CAB

arc lenght = CÁB/ 360 × 2(pi)(4)

a/2pi(4) = CAB/360

8/3(pi)/2(pi)(4) × 360 = CÁB

120 = CAB

Answer:

120°

Step-by-step explanation:

that is the procedure above

Answer:

1.49216 x 10^11 m.

Step-by-step explanation:

That would be the following difference:

1.496 x 10^11 - 3.84 x 10^8

= 1.49216 x 10^11 m.

Answer:

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Step-by-step explanation:

Point P:

The coordinates of point P are (x,y).

AP=3/7 AB

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this both for coordinate x and coordinate y.

Coordinate x:

[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]

[tex]x + 2 = \frac{12}{7}[/tex]

[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]

Coordinate y:

[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]

[tex]y + 2 = -\frac{6}{7}[/tex]

[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Answer: 5

Step-by-step explanation:

[tex] \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}[/tex]

Given terms :

[tex]\hookrightarrow \: length = 8 \: in[/tex]

[tex]\hookrightarrow \: width = 2 \: in[/tex]

[tex] \hookrightarrow \: height = 12 \: in[/tex]

we know,

[tex] \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}[/tex]

[tex]\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}[/tex]

[tex]\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr][/tex]

[tex]\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ][/tex]

[tex]\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}[/tex]

____________________________________

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