A boat costs $19,200 and decreases in value by 12% per year. How much will the boat be worth after 5 years?

Answers

Answer 1

Answer: Find 10% of $19,200 = 1,920
Find 2% of $1,920 = 384
12% = $2,304
19,200 - 2,304 = 16,896 (year 1)
Repeat this until you have your 5th year :)

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Greg drove 386 miles and used 20 gallons of gas.His car averaged how many miles per gallon?

Answers

386 divided by 20 is 19.3 so Greg averaged 19.3 miles per gallon.

19.3 because 386÷20 =19

Tim has developed a money saving strategy that uses the formula S=450+100r.a. Give a possible interpretation of Tim's strategy.

b. What do the slope and S-intercept of the graph of the relation represent, base on the interpretation from part a.?

c. If Tim plans to stop his savings once he has accumulated $1250, what are the domain and range of this relation.

Answers

Answer:

Step-by-step explanation:

Given that Tim has developed a money saving strategy that uses the formula S=450+100r.

a) 450 will be savings always and for every r an additional 100 would be saved

b) Slope = 100 represents the increase of S for a unit increase of 1.

S intercept = 450 is the savings even when r=0

c) Since max savings is 1250 and min is 450

Range = (450,1250)

For 450 range, domain r =0 and for range 1250, domain r = 8

Domain =(0,8)

A) For 100R, that might mean every week, he is putting 100 dollars away for an interpretation.
B) The Slope represents the time it takes to make 100 dollars, and S represents the total amount of money Tim has.
C) If Tim got to 1250 dollars, it would be 8 for R. So 8 would be the domain and 1250 for the range.

Write the point-slope form of the equation of the line through the given point with the given slope.Through (-2,0) slope=2

Answers

$the\ point-slope\ formula:y-y_1=m(x-x_1)\n===============================\n\n(-2;\ 0)\to x_1=-2;\ y_1=0\ and\ m=2\n\ntherefore\n\ny-0=2(x-(-2))\n\ny=2(x+2)\n\n\boxed{y=2x+4}$

Steps:
1. Your point slope formula is
Y-Y1=m(x-x1)
2. Y1=0 m=2 (slope) x1=-2
3. Do substitution
4. Your answer is
Y-0=2(x +2)
Ps: in case you are wondering why I put plus 2 instead of negative 2 is because you are supposed to do the opposite when subtracting a negative

Which is equivalent to 216 power of 1/3 ?
3
6
36
72

Answers

Answer:

Step-by-step explanation:

GIVEN :

$(216)^{(1)/(3) }$

Solution :

let

$(216)^{(1)/(3) }=x$

$216 = x^(3)$

$6^(3) = x^(3)$

⇒ x = 6

⇒ $(216)^{(1)/(3) }= 6$

Answer:

Option (b) is correct.

$(216)^{(1)/(3)}=6$

Step-by-step explanation:

Given: 216 power of 1/3

We have to find an equivalent number to 216 power of 1/3

Consider 216 power of 1/3

Writing mathematically as, $(216)^{(1)/(3) }$

Also, 216 can be written as product of 6 three times that is 6× 6 × 6

Thus, $(216)^{(1)/(3)}=(6* 6* 6)^{(1)/(3)}$

Simplify, we get,

$(6* 6* 6)^{(1)/(3)}=(6^3)^{(1)/(3)}$

Apply property of exponents, we have,

$(a^n)^m=a^(nm)$

$(6^3)^{(1)/(3)}=6^{(3)/(3)}=6$

Thus, $(216)^{(1)/(3)}=6$

Option (b) is correct.

What is the measure of angle A ?
what is the measure of angle B ?

Answers

Answer:

$\angle\,A=72^o\n\angle\,B=108^o$

Step-by-step explanation:

Notice that buy construction of a parallelogram,the angles $\angle \,A$ and $\angle \,C$ must equal each other. Then, based on the info given, we can write the following equation: