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Sauron [17]
3 years ago
15

Russ' checking account charges an $11.25 monthly service fee and a $0.22 per-check fee. If Russ writes 14 checks per month, shou

ld he switch to a checking account that charges a $14.50 monthly service fee and no per-check fee?
Mathematics
2 answers:
Reptile [31]3 years ago
5 0

The total amount that present account charges is the sum of the monthly service fee and the total per check fee.

The monthly service fee is $11.25

The per check fee is $0.22. Therefore, the total check fee for 14 checks will be 14\times 0.22=3.08 dollars.

Therefore the total amount that the present account charges is 11.25+3.08=14.33 dollars.

As can be clearly seen, this is still less than the second option of a checking account that charges a $14.50 monthly service fee and no per-check fee. Therefore, Russ should <u>not</u> he switch to a checking account that charges a $14.50 monthly service fee and no per-check fee.


masya89 [10]3 years ago
3 0
Yes,because that is $3.03 higher than what he is receving right now so that will be an accelent option:)
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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!!!

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