4 sinA + 5 sinA what is the answer of it
1 answer:
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Answer: t>6
Step-by-step explanation:
Amount to pay = Cost of kennel + (Cost per toy )x (Number of toys)
Let t = the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.
Given, At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy.
Amount to pay = $(50.75 + 3.75t)
At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy.
Amount to pay = $(43.25 + 5t)
According to the question , we have
50.75 + 3.75t < 43.25 + 5t
Subtract 3.75t from both sides
50.75+ 3.75t -3.75t < 43.25 + 5t -3.75t
⇒ 50.75< 43.25 +1.25 t
Subtract 43.25 from both sides, we get
50.75 - 43.25 < 1.25 t
⇒ 7.5< 1.25 t
Divide both sides by 1.25 we get
⇒ 6<t
Hence, the required inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option:
.
Answer:
Step-by-step explanation:
Given the definite integral , we to evaluate it. Using integration by substitution method.
Let u = 1-2x⁵ ...1
du/dx = -10x⁴
dx = du/-10x⁴.... 2
Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;
substitute u = 1-2x⁵ into the result
Hence
Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be .
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.
Amount of interest earned from lower-yielding account: .
Amount of interest earned from higher-yielding account: .
Let us solve for x.
Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be .
Therefore, the man invested $60,000 at 6%.