1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sunny_sXe [5.5K]
3 years ago
5

Casandra is calculating how much interest she will earn in investments that are eating simple interests. She knows that simple i

s paid only on the original amount that was deposited (the principal). For one amount of money that was invested for three years, she wrote the equation I= 500(0.025)(3)=$37.50. In Casandra's equation, identify the principle, interest, rate, time.
Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

Step-by-step explanation:

The formula for simple interest is I = PRT ÷ 100

Casandra's equation = I= 500(0.025)(3)=$37.50

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

You might be interested in
The point P= (x,-1/7) lies on the unit circle shown below. What is the value of x in simplest form? ​
ipn [44]

Answer:

x^2 + \frac{1}{49} =1

And solving for x we got:

x^2 = 1- \frac{1}{49}

x^2 = \frac{48}{49}

And taking square root we got:

x = \sqrt{\frac{48}{49}}= \frac{\sqrt{48}}{7} = \frac{4\sqrt{3}}{7}

Step-by-step explanation:

For this case we have the following point given P(x , -1/7)

And we want to find the value of x, since P lies on the unitray circle if we find the distance from P to the center of the unitary circle (0,0) we need to get 1. Using the definition of Euclidean distance that means:

d = \sqrt{(x -0)^2 +(-1/7 -0)^2}=1

And if we square both sides of the last equation we got:

x^2 + \frac{1}{49} =1

And solving for x we got:

x^2 = 1- \frac{1}{49}

x^2 = \frac{48}{49}

And taking square root we got:

x = \sqrt{\frac{48}{49}}= \frac{\sqrt{48}}{7} = \frac{4\sqrt{3}}{7}

3 0
2 years ago
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
tatuchka [14]

Answer:

a)Null hypothesis:- H₀: μ> 500

  Alternative hypothesis:-H₁ : μ< 500

b) (5211.05 , 5411.7)

95% lower confidence bound on the mean.

c) The test of hypothesis t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Step-by-step explanation:

<u>Step :-1</u>

Given  a random sample of 15 devices is selected in the laboratory.

size of the small sample 'n' = 15

An average life of 5311.4 hours and a sample standard deviation of 220.7 hours.

Average of sample mean (x⁻) =  5311.4 hours

sample standard deviation (S) = 220.7 hours.

<u>Step :- 2</u>

<u>a) Null hypothesis</u>:- H₀: μ> 500

<u>Alternative hypothesis</u>:-H₁ : μ< 500

<u>Level of significance</u> :- α = 0.95 or 0.05

b) The test statistic

t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n-1} } }

t = \frac{5311.4 - 500}{\frac{220.7}{\sqrt{15-1} } }

t = 5.826

The degrees of freedom γ= n-1 = 15-1 =14

tabulated value t =1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

calculated value t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Null hypothesis is rejected at  95% confidence on the mean.

C) <u>The 95% of confidence limits </u>

(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-} + t_{0.05}\frac{S}{\sqrt{n} } )

substitute values and simplification , we get

(5311.4 - 1.761 \frac{220.7}{\sqrt{15} } ,5311.4 +1.761\frac{220.7}{\sqrt{15} } )

(5211.05 , 5411.7)

95% lower confidence bound on the mean.

5 0
2 years ago
Y = tan(πx)<br><br> What is the inner and outer part of the Function?????
Daniel [21]
\bf y=tan(\pi x)\implies &#10;\begin{cases}&#10;tan(\qquad )\impliedby outer&#10;\\\\&#10;\pi x\impliedby inner&#10;\end{cases}
8 0
3 years ago
What is 7/8 divided by 1/20
Valentin [98]

Answer:

17.5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which situation can be represented by the equation below?
pav-90 [236]

Answer:

Where is the equation?

7 0
3 years ago
Other questions:
  • You need exactly 47 bottles of water. You don’t want to buy more than you need, but you want the least expensive way. List the b
    6·1 answer
  • What is the equation, in point-slope form, for a line that goes through
    9·1 answer
  • Simplify <br> 1. 4(y - 3) + 2y<br> 2. -2(b - 6) <br> 3. 6x + 2 ­- 3x ­- 5
    8·2 answers
  • On a coordinate plane, triangle L M N has points (negative 1, 2), (negative 1, negative 4), and (3, negative 4). What is the are
    12·1 answer
  • Consider a binomial experiment with n = 10 and p = 0.10. (a) Compute f(0). If required, round your answer to four decimal places
    13·1 answer
  • Staghorn Coral is a type of branching Coral. It can add as much as 0.67 foot to its branches each year. Find how much a staghorn
    12·1 answer
  • Please help<br><br><br><br> Write an equation and solve for x
    10·2 answers
  • If socks cost $8.97 for 3 pairs how much does one pair cost?
    13·2 answers
  • According to the graph, is f even, odd, or neither(pic provided)?
    9·1 answer
  • The perimeter of a rectangular field is 38m. It’s width is 7cm.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!