The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.

Which function represents the value of the car after t years?

f(t)=0.85(21,000)t
f(t)=1.15(21,000)t
f(t)=21,000(0.85)t
f(t)=21,000(1.15)t

Answers

Answer 1

9514 1404 393

Answer:

  (c)  f(t)=21,000(0.85)^t

Step-by-step explanation:

Each year, the value is multiplied by 1-15% = 85% = 0.85. This is correctly shown in the function ...

  f(t)=21,000(0.85)^t


Related Questions

Please help very appreciated

Answers

angle Q is congruent to angle T since they are on the same side of both triangles
a!!! angle Q = angle T

Prove that the square of an odd number is always 1 more than a multiple of 4

Answers

Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

[tex] {3}^{2} = 9[/tex]

8 is a multiple of 4, and 9 is more than 8.

[tex] {11}^{2} = 121[/tex]

120 is a multiple of 4 and 121 is one more than it.

[tex] {25}^{2} = 625[/tex]

624 is a multiple of 4 and 625 is one more than it.

[tex] {37}^{2} = 1369[/tex]

1368 is a multiple of 4 and 1369 is one more than 1368.

[tex] {131}^{2} = 17161[/tex]

17160 is a multiple of 4.

Which equation has a graph that passes through the origin and has a slope of -10?​

Answers

shshhsjxhxbx

yeah yeah but yeah yeah that’s

If 3 3/4m of cloth was used for one suit, how many suits can be made with 30m cloth​

Answers

Answer:

8 suits

Step-by-step explanation:

Divide 30 m by 3 [tex]\frac{3}{4}[/tex] m , or 30 ÷ 3.75 , then

30 ÷ 3.75 = 8

Then 8 suits can be made from 30 m of cloth

Need answer urgently

Answers

Answer:

x = -2; y = 1

Step-by-step explanation:

See picture below.

We are told matrices B is the inverse of matrix A.

The product of a matrix and its inverse is the identity matrix.

4x + x - 3-9 + 4x = 6 ??​

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

-------------------------

Given:

[tex]4x+x-3-9+4x=6[/tex]

---------->>>>

Combine like terms.

[tex]9x-12=6[/tex]

---------->>>>

Add 12 to both sides.

[tex]9x=18[/tex]

---------->>>>

Divide both sides by 9.

[tex]x=2[/tex]

-------------------------

Hope this is helpful.


Find the area of the figure below, formed from a triangle and a parallelogram.

144 square millimeters
120 square millimeters
72 square millimeters
96 square millimeters

Answers

total area =A1+A2+A3

A1=1/2b*h

A1=1/2*8mm*6mm

A1=24mmsquare

A2=1/2b*h

A2=1/2*8mm*6mm

A2=24mmsquare

A3=b*h

A3=8mm*6mm

A3=48mmsquare

Atotal=24mmsquare+24mmsquare+48mmsquare

Atotal=96mmsquare

Help please :)......

Answers

Answer:

x | y

0 | 2

2 | 10

4 | 18

Step-by-step explanation:

the function would be y=4x+2

just plug each x value in to get each y value

True or False: The points T, Z, W and U coplanar in the following image

Answers

Answer:

False

Step-by-step explanation:

Points T & W are coplanar. Point Z is on both planes, so it depends on how you see it. HOWEVER, Point U is on another plane (plane Q to be exact), so points T, Z, W, and U are NOT coplanar.

Hope it helps (●'◡'●)

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!

Answers

Answer:

9

[tex]3^{\frac{4}{2} }[/tex] = [tex]3^{2} =9[/tex]

Step-by-step explanation:

What is the equation of the line that is perpendicular to
and has the same y-intercept as the given line?
(0,0)
(5,0)
O y = x+1
O y = x+5
o y = 5x + 1
O y = 5x + 5
-6 -5 -4 -3 -2 -1
23
4 5 6
Mark this and return
Save and Exit
Nyt
Submit

Answers

Answer:

y = 5x + 1

Step-by-step explanation:

Given the coordinate points (0,1) and (5,0)

First, get the slope

Slope m =(0-1)/5-0

m = -1/5

Since the required line is perpendicular, then the required slope is;

M = -1/(-1/5)

M = 5

Since 1the y intecept id (0,1) i.e. 1

Required equation is y = mx+b

y = 5x + 1

This gives the required equation

Note that the coordinate (0,1) was used instead os (0,0)

Know idea how to get an answer to this

Answers

Step-by-step explanation:

k=8.6

i think it is the right answer

What piece of information is needed to prove
the triangles are congruent through ASA?

Answers

Answer:

B. <B is congruent to the <Z

OPTION B is the correct answer

A river is 212 mile long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?

Answers

Answer:

4.24 inches

Step-by-step explanation:

1 inch / 50 miles = x / 212 miles      Cross multiply

1 inch * 212 miles = 50 miles * x      Divide by 50 miles

1 inch * 212 miles / 50 miles = x

x = 4.24 inches.

How much is 0.24 of an inch?

0.24 * 50 = 12

So 0.24 inches represents 12 miles.

write 16.76 correct to the nearest whole number​

Answers

16.76 rounds off to 17
After the dot if it’s 1-4 then they it would’ve been 15
5-9 is 17

Answer:

17

Step-by-step explanation:

because they are both above 5 so add 1

Find how long it takes a person to drive 90 miles on a highway if she merges onto a highway at 3p.m. and drives nonstop with her cruise control set on 40 mph.
How long does is take a person to drive 90 miles?
(type an integer or a decimal)

Answers

Answer:

2.25 or 2 hours 15 mins

Step-by-step explanation:

90/40 = 2.25

Find the radius of the circle if the center is at (1, 2) and the point (-5, 6) lies on the circle.

On a coordinate plane, a circle has center point (1, 2). A point on the circle is at (negative 5, 6).

Answers

9514 1404 393

Answer:

  2√13

Step-by-step explanation:

The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52

  d = 2√13

The radius of the circle is 2√13.

Which answers describe the shape below? Check all that apply.
A. Trapezoid
B. Parallelogram
C. Rhombus
D. Rectangle
E. Quadrilateral
F. Square

Answers

Answer:

B, C, and E

Step-by-step explanation:

define saturated and unsaturated fats​

Answers

Answer:

A saturated fat is a type of fat in which the fatty acid chains have all or predominantly single bonds. A fat is made of two kinds of smaller molecules: glycerol and fatty acids. Fats are made of long chains of carbon atoms. Some carbon atoms are linked by single bonds and others are linked by double bonds.

Saturated fats: a type of fat containing a high proportion of fatty acid molecules without double bonds, considered to be less healthy in the diet than unsaturated fat

Unsaturated fats: a type of fat containing a high proportion of fatty acid molecules with at least one double bond, considered to be healthier in the diet than saturated fat.

what's the difference between both?: saturated fats Contains a single bond, Excessive consumption leads to heart diseases,High melting point and Solid state in room temperature. While Unsaturated Contains at least one double bond, Good for consumption, but excessive may increase cholesterol,Low melting point and Liquid state in room temperature.

a certain number n is 6 more than a second number and 9 less than a third number. in terms of n, which of the following expressions represents the second number

Answers

Answer:

n-6

Step-by-step explanation:

it is given that the first number is n

for the second number:

n is 6 more than a second number

more than means that we should subtract n by 6 to get the second number since n is 6 more than the second number

second number: n-6

1 Find the value of C to that the function probability density function defined as follow, also calculate the man and variance /4

X -1 0 1
f(x) 3c 3c 6c

Answers

Answer:

[tex]c = \frac{1}{12}[/tex]

The mean of the distribution is 0.25.

The variance of the distribution is of 0.6875.

Step-by-step explanation:

Probability density function:

For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:

[tex]3c + 3c + 6c = 1[/tex]

[tex]12c = 1[/tex]

[tex]c = \frac{1}{12}[/tex]

So the probability distribution is:

[tex]P(X = -1) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]

[tex]P(X = 0) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]

[tex]P(X = 1) = 6c = 6\frac{1}{12} = \frac{1}{2} = 0.5[/tex]

Mean:

Sum of each outcome multiplied by its probability. So

[tex]E(X) = -1(0.25) + 0(0.25) + 1(0.5) = -0.25 + 0.5 = 0.25[/tex]

The mean of the distribution is 0.25.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probability. So

[tex]V^2(X) = 0.25(-1-0.25)^2 + 0.25(0 - 0.25)^2 + 0.5(1 - 0.25)^2 = 0.6875[/tex]

The variance of the distribution is of 0.6875.

When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?

Answers

F(x) = (x2+5x-3+2x+4)(x+4)
=> f(-4)=((-4)2+5(-4)-3+2*(-4)+4)(-4+4)=0
F(-4)=0

Need an answer quick!!
Lines A and B are parallel
A
1
2
3125°
B
5 6
78
m26 = [? ]°

Answers

Answer:

<6 = 55°

Step-by-step explanation:

Here,

<6 + 125° = 180° [Co-interior angles]

=> <6 = 180 - 125

=> <6 = 55° (Ans)

A 3 phase traffic signal is designed with 2 seconds of all red per phase and phase lengths of 25 seconds, 30 seconds, and 15 seconds. The cycle length is ____ seconds.

Answers

Answer:

[tex]CL=76secs[/tex]

Step-by-step explanation:

From the question we are told that:

Traffic Phases p=3

Phase time Lengths

25 seconds, 30 seconds, and 15 seconds

Red Per Phase [tex]T=2sec[/tex]

Generally the equation for Cycle Length is mathematically given by

 [tex]CL=Phase\ Length+Red\ Per\ Phase[/tex]

 [tex]CL=(25+2)+(30+2)+(15+2)[/tex]

 [tex]CL=76secs[/tex]

Use the appropriate reciprocal identity to find the exact value of sin for the given value of csc . Rationalize denominators when applicable. csc 27/5 sin

Answers

Answer:

[tex]\sin(\theta) = \frac{5}{27}[/tex]

Step-by-step explanation:

Given

[tex]\csc(\theta) = \frac{27}{5}[/tex]

Required

Determine [tex]\sin(\theta)[/tex]

In trigonometry identity;

[tex]\sin(\theta) = \frac{1}{\csc(\theta)}[/tex]

So, we have:

[tex]\sin(\theta) = \frac{1}{\frac{27}{5}}[/tex]

Take inverse of the fraction

[tex]\sin(\theta) = \frac{5}{27}[/tex]

7 is added to the product of 5 and 6​

Answers

Answer:

37

Step-by-step explanation:

7 + (5×6)

= 7 + 30

= 37

.................

Answer:

37

Step-by-step explanation:

First Step: Multiply

5x6=30

Second Step: Add

30+7=37

Therefore your answer is 37

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Please help! Rewrite the function

Answers

Answer:

The answer is below

Step-by-step explanation:

A function is used to show the relationship between two or more variables. This variables are known as the input variables and output variables.

The input variables are variables which do not depend on other variables while the output variables are variables that depends on other variables.

Given that g(x) = 12x / (x-5); rewriting in the form g(x) = [a/(x-h)] + k, gives:

[tex]g(x)=\frac{60}{x-5}+12[/tex]

The graph of g(x) was plotted using online geogebra graphing calculator. The graph is attached.

I have no idea how to do this, so if someone could at least do one of these I’ll be grateful <3

Answers

Answer:

Answers are below!

Step-by-step explanation:

(2 + g) (8)

= (2 + g) (8)

Add a 8 after the 2, and flip.

= (2)(8) + (g)(8)

= 16 + 8g

= 8g + 16

= (4) (8 + -5g)

Add another 4, then flip.

= (4) (8) + (4) (-5g)

= 32 − 20g

= - 20g + 32

−7 (5-n)

= (−7) (5 + -n)

Add another 7, then flip.

= (−7) (5) + (-7) (-n)

= −35 + 7n

= 7n - 35

Use the distributive property.

a (b + c) = ab + ac

a = 8

b = 2m

c = 1

= 8 × 2m + 8 × 1

Simplify, you get 16m + 8.

Use the distributive property.

a (b + c) = ab + ac

a = 6x

b = y

c = z

= 6xy - 6xz is the answer.

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac[/tex]

[tex]a=-3,\:b=2b,\:c=2a[/tex]

[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]

Apply minus plus rules.

[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]

Multiply the numbers.

3 x 2 = 6

Answer:

9. -35+7n

10. 16m+8

11. 6xy-6xz

Step-by-step explanation:

You multiplying the terms inside the ( ) by the outside factor.

This is call distributive property, a(b+c)=ab+ac.

Also, a(b+c)=(b+c)a by commutative property.

It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.

Anyhow, let's look at 9.,10., and 11..

9.

-7(5-n)

(-7)(5-n)

(-7)(5)-(-7)(n)

-35+7n

10.

8(2m+1)

(8)(2m)+(8)(1)

16m+8

11.

6x(y-z)

(6x)(y-z)

(6x)(y)-(6x)(z)

6xy-6xz

Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).

If you want comment below, if you want me to check any of yours or if you have any questions.

Round 36.319 to the nearest tenth

Answers

36.3 because the digit in the hundredths place is not 5 or greater
The answer is 36.
Explanation

Help me plz I can’t figure it out

Answers

Answer:

m = 60

Step-by-step explanation:

The context is very important, the 'm' represents the minutes late the parents are and from this we can eliminate some options :

- The last one because then a parent would drop their child off earlier

- The first one and the third one because it is too long

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