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erastovalidia [21]
3 years ago
6

Caleb earns points on his credit card that he uses toward future puchases. He earns four points per dollar spent on flights, two

points per dollar spent at hotels,and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.
Mathematics
1 answer:
Levart [38]3 years ago
6 0

Answer:

Let f = dollars spent on flights, h dollars spent on hotels, and p dollars spent on all other purchases.

Step-by-step explanation:

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Read 2 more answers
What was the total production of gasoline and kerosene combined (in Barrels)
Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

<em>44.4 million barrels of gasoline and kerosene are produced</em>

Let

<em />x \to<em> Proportion of kerosene</em>

<em />y \to<em>  Proportion of Gasoline</em>

<em />

So:

x = 40\%

y = 34\%

Total = 60\ million ---- total barrels produced

The amount of Kerosene produced is:

Kerosene =x \times Total

Kerosene =40\% \times 60\ million

Kerosene = 24\ million

The amount of Gasoline produced is:

Gasoline  =y \times Total

Gasoline  =34\% \times 60\ million

Gasoline  =20.4\ million

So, the total production of both is:

Total = Kerosene + Gasolene

Total = 24\ million + 20.4\ million

Total = 44.4 million

<em>Hence, 44.4 million barrels of gasoline and kerosene are produced</em>

Read more about equations at:

brainly.com/question/21105092

8 0
3 years ago
Luiza is jumping on a trampoline.
lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0
3 years ago
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