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ivanzaharov [21]
2 years ago
13

Jim opens a savings account with $22,500. his account pays 3.5% interest compounded daily. at the end of 5.5 years, jim closes t

he account. how much interest does he earn? what is the total value of his account when he closes it?
Mathematics
1 answer:
Allushta [10]2 years ago
5 0
Answer:
$27,186.57

Step-by-step explanation:
Formula: starting cost(interest • 1)^time
First, we need to calculate the interest which in this case it would be 1.035(1+(3.5/100)) since it is increasing 3.5% each year. Then we can just plug the values into the formula to get:

22,500(1.035•1)^5.5 = 27,186.57
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Four times -3+ two times negative5 exponent 3
Makovka662 [10]

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7 0
3 years ago
Read 2 more answers
Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the sc
Colt1911 [192]
Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students
6 0
3 years ago
Convert the Cartesian equation x - 5 = 0 to a polar equation.
mylen [45]

Answer:

  r = 5sec(θ)

Step-by-step explanation:

The usual conversion is ...

  y = r·sin(θ)

  x = r·cos(θ)

__

The second of these can be used here.

  r·cos(θ) -5 = 0

  r·cos(θ) = 5

  r = 5/cos(θ) = 5sec(θ)

A suitable polar equation is ...

  r = 5sec(θ)

5 0
2 years ago
If x= sin theta then x/√1-x^2 is​
SCORPION-xisa [38]

Well,

Given that x=\sin(\theta),

We can rewrite the equation like,

\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}

Now use, \cos(\theta)^2+\sin(\theta)^2=1 which implies that 1-\sin(\theta)^2=\cos(\theta)^2

That means that,

\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}\Longleftrightarrow\dfrac{\sin(\theta)}{\sqrt{\cos(\theta)^2}}

By def \sqrt{x^2}=x therefore \sqrt{\cos(\theta)^2}=\cos(\theta)

So the fraction now looks like,

\dfrac{\sin(\theta)}{\cos(\theta)}

Which is equal to the identity,

\boxed{\tan(\theta)}=\dfrac{\sin(\theta)}{\cos(\theta)}

Hope this helps.

r3t40

6 0
3 years ago
A restaurant has 9 3/5 pounds of onions. The restaurant's manager ordered 4 4/5 more pounds of onions. The onions then were mixe
Alina [70]

Answer:

7 1/5 pounds in each basket

Step-by-step explanation:

Original pounds of onion = 9 3/5

New pounds of onion = 4 4/5

The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions

Total onions = Original pounds of onion + New pounds of onion

= 9 3/5 + 4 4/5

= 48/5 + 24/5

= 48+24/5

= 72 / 5 pounds

How many pounds of onions does each basket contain?

Pounds in each basket = Total pounds /2 basket

= 72/5 ÷ 2

= 72/5 × 1/2

= 72 / 10

= 7 2/10

= 7 1/5 pounds in each basket

7 0
3 years ago
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