The equation S = p( 1+r )^2 can be used to model a person’s future income. S = future salary, p = current salary, r = rate of increase(% in decimal form), and t = time in years. Bob’s salary increases by 5% each year. If he starts at $35,000 per year, what will his salary be in 5 years?

Answers

Answer 1

Answer: S = p(1 + r)^t
S = 35,000(1 + .05)^5
S = 35,000(1.05^5)
S = 44669.85 rounds to 44,670

BELOW

Step-by-step explanation:

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(-8,\:-11\right),\:\left(x_2,\:y_2\right)=\left(17,\:4\right)\n\nm=(4-\left(-11\right))/(17-\left(-8\right))\n\nm = (4+11)/(17+8)= (15)/(25) \n\mathrm{Refine}\n\nm=(3)/(5)$

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(10,\:-15\right),\:\left(x_2,\:y_2\right)=\left(13,\:-17\right)\n\nm=(-17-\left(-15\right))/(13-10)\n\nm = (-17+15)/(13-10)\n \nm = (-2)/(3)\n \nSimplify\nm=-(2)/(3)$

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(-6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(5,\:-7\right)\n\nm=(-7-\left(-7\right))/(5-\left(-6\right))\n\nm = (-7+7)/(5+6)\n \nm = (0)/(11)\n \nSimplify\nm=0$

10.

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(-4,\:-3\right),\:\left(x_2,\:y_2\right)=\left(2,\:-9\right)\n\nm=(-9-\left(-3\right))/(2-\left(-4\right))\n\nm = (-9+3)/(2+4)\n \nm = (-6)/(6) \n\nSimplify\nm =-1$

11.

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty \n\nm = \infty$

12.

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(-5,\:3\right),\:\left(x_2,\:y_2\right)=\left(19,\:-6\right)\n\nm=(-6-3)/(19-\left(-5\right))\n\nm = (-6-3)/(19+5)\n \nm = (-9)/(24)\n \nSimplify\nm=-(3)/(8)$

13.

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(-7,\:-12\right),\:\left(x_2,\:y_2\right)=\left(1,\:-16\right)\n\nm=(-16-\left(-12\right))/(1-\left(-7\right))\n\nm = (-16+12)/(1+7) \n\nm = (-4)/(8) \n\nSimplify\nm=-(1)/(2)$

14.

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(-18,\:0\right),\:\left(x_2,\:y_2\right)=\left(-13,\:1\right)\n\nm=(1-0)/(-13-\left(-18\right))\n\nm = (1-0)/(-13+18)\n \nm = (1)/(5) \n$

15.

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(1,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-4\right)\n\nm=(-4-\left(-11\right))/(-2-1)\n\nm = (-4+11)/(-2-1)\n \nm = (7)/(-3) \n\nSimplify\nm=-(7)/(3)$

Ian has a yardstick with marks for every tenth of an inch. Which could be the most accurate measurement of his height using the yardstick

Answers

yardstick
1 yard=3 feet
1 foot=12 inches
1 yard=3 times 12 inches=36 inches

the most acurate measurement would be to the 10th of an inch exg 5 feet 3inches and 1/10th inch

Question 7 of 55 Which two ratios represent quantities that are proportional? and B. and c. and D. and 1ASAP PLZ HELP 5O POINTS!!!! ILL GIVE BRAINLIEST IG CORRECT AND NO LINKS!

Answers

45. 35

—. And.

18:

During a sale at the bookstore,books sold for $3 and magazines sold for $2.50.Jan spent $16 and bought a total of 6 books and magazines.how many of each did she buy

Answers

If you would like to know how many of each did Jan buy, you can calculate this using the following two equations:

b ... the number of books
m ... the number of magazines

$16 = b * $3 + m * $2.50 ... 16 = 3 * b + 2.50 * m
b + m = 6 ... b = 6 - m
__________________
16 = 3 * b + 2.50 * m

16 = 3 * (6 - m) + 2.50 * m

16 = 3 * 6 - 3 * m + 2.50 * m

16 - 18 = - 3 * m + 2.50 * m

- 2 = - 0.50 * m /0.50

m = 2 / 0.50

m = 4 magazines

b = 6 - m = 6 - 4 = 2 books

Result: Jan bought 4 magazines and 2 books.

4 magazines @ $2.50 a piece
2 books @ $3 a piece
6 in total for $16

What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0 y =-2/3 -x y =-3/2x y = 3/2x

Answers

Since the line in question is parallel to the line with the equation 3x+2y-6=0, it can be said that they have the same slope. To find the slope of the line with the given equation, transform the given equation to its corresponding slope-intercept form. Hence, the equation is now

y=(-3/2)x+3

the slope is then -3/2

and since the line in question passes through the origin, the equation of this line is then

y=(-3/2)x+0
or simply
y=(-3/2)x

Answer:

y=(-3/2)x

Step-by-step explanation:

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