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I am Lyosha [343]
3 years ago
10

2) Jose recently saw an ad online for a new version of his tablet. The projected price is $450, and the phone will be out on the

market in about one year. Jose wants to purchase a new phone but is wondering if he should wait a year. With a 2.75% inflation, what amount would he pay to purchase a laptop today that is the same value as the one he saw online?
A.) $437.63
B.) $462.38
C.) $455.25
D.) $425.36
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

462.38

Step-by-step explanation:

bc its only a year and it is inflated by 2.75% xoxox

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Mr. Vara is designing post caps in the shape of a square pyramid for a fence that he just built in his backyard. The caps are so
Lyrx [107]

Answer:

Height of the square pyramid is 6.569 centimeter

Step-by-step explanation:

The volume of the square pyramid is 94.5 cubic centimeters

The height of the square pyramid will be equal to the lengths of the sides of the square.

The volume of the square pyramid  is given by

a^2 * \frac{h}{3}

or

\frac{a^3}{3}  = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569centimeter

Height of the square pyramid is 6.569 centimeter

3 0
3 years ago
Set up and solve a proportion 6/100=s/12
rusak2 [61]

Amount of tax on the book (s) is $0.72

Step-by-step explanation:

  • Step 1: Given 6/100 = s/12
  • Step 2: Cross multiply to solve for s

⇒ 6 × 12 = 100 × s

⇒ 72 = 100s

⇒ s = 72/100 = 0.72

7 0
4 years ago
Solve the following ODE's: c) y* - 9y' + 18y = t^2
Nastasia [14]

Answer:

y = C_1e^{3t}+C_2e^{6t} + \dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = C_1e^{3t}+C_2e^{6t}

now calculating P.I.

P.I. = \frac{t^2}{D^2 - 9D +18}

P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

hence the complete solution

y = C.F. + P.I.

y = C_1e^{3t}+C_2e^{6t} + \dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

7 0
3 years ago
I have no idea how to graph g(x)..or why f(x) is relevant..... Steps would be helpful!! I got a final twomorrow ;-;​
SSSSS [86.1K]

When you derive a function from another using the transformation

g(x) = f(x+k)

you're translating the graph of the parent function f(x) horizontally.

More specifically, you translate the graph k units to the left if k is positive, k units to the right if k in negative.

So, starting from the graph of f(x), you have that the graph of

g(x) = f(x+3)

is the same graph of f(x), but shifted 3 units to the left.

3 0
4 years ago
Sonia used $12.50 to buy a new journal. She has $34.25 left in her savings account. How much money did Sonia have before she bou
natali 33 [55]
  1. X-12.50=34.25
  1. Add 12.50 to both sides
  2. X=46.75
3 0
3 years ago
Read 2 more answers
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