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makvit [3.9K]
2 years ago
9

Mrs. Powell has $800 invested in stocks and $500 invested in a Certificate of Deposit. The CD has an interest rate twice as grea

t as the stocks. If her annual interest on these two investments is $45, at what rate of interest is the $500 invested?
Mathematics
2 answers:
Mashutka [201]2 years ago
7 0
Let's use the variable "r" to represent the investment rate of the stocks:
2r(500) + r(800) = 45
1000r + 800r = 45
1800r = 45
r = 0.025
2r = 0.05
The $500 is invested at 5%
vodomira [7]2 years ago
6 0

Answer:

$500 at 5%

Step-by-step explanation:

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Mia is rolling a pair of 6-sided dice.
tekilochka [14]

Answer:

The domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Step-by-step explanation:

A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

7 0
2 years ago
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How many possible values for y are there where y = cos^-1 0?
Arada [10]

Possible values for y are<u> infinite</u>

<h3>Further explanation </h3>

Trigonometry is the science of mathematics that studies the relationship between sides and angles in triangles

Given special angles of trigonometric functions, for example

\displaystyle sin~0=0\\\\cos~30=\frac{1}{2}\sqrt{3}\\\\tan~45=1\\\\sec~45=\sqrt{2}\\\\etc.

In the trigonometric function equation y = cos⁻¹ 0, then the value of y can be determined:

y = cos⁻¹0

y = arc cos 0

cos y = 0

Then the value of y :

\displaystyle \frac{\pi }{2},\frac{3}{2}\pi,\frac{5}{2}\pi , etc

Or can be formulated :

\displaystyle y=\frac{\pi }{2} (2n-1) ⇒ y: arithmetic sequence

So there are infinite values for y

<h3>Learn more</h3>

trigonometric identities

brainly.com/question/5013374

Keywords: trigonometric, infinite values,arithmetic sequence

#LearnWithBrainly

3 0
2 years ago
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Anika wants to determine The maximum number of tulip bulbs (T) she can purchase if each bulb costs $1.50. She will also need to
PtichkaEL [24]
T( 1.50+ 1.25) + 10.00 < 20.00 2.75t + 10.00 < 20.00 2.75t < 10.00 T < 3.63 Partial bulbs and puts can't be bought, so Anika cannot spent the full $20.00. Therefore, t < 3 if t can be a whole number.
6 0
2 years ago
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The total number of parking spaces in a parking garage is calculated by adding the area of the lower level given by 22x2, the ar
iogann1982 [59]
Given:

Total number of parking spaces = 414
Area of lower level = 22x^2
Area of upper level = 20x^2
Compact car section = 12x

The total number of spaces in a parking garage = Area of lower level + area of upper level + area of compact car section.

Working equation:

414 = 22x^2 + 20x^2 + 12x
414 = 42x^2 + 12x
42x^2 + 12x - 414 = 0

solve for x

x1 = 3
x2 = -3.29

We can only use the positive value. Therefore, x = 3. The number of compact car parking spaces is 12x = 12 * 3 = 36 parking spaces

The complete data set is:

Lower level parking = 22x^2 = 198
Upper level parking = 20x^2 = 180
Compact parking space = 12x = 36
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5 0
1 year ago
Bert and Ernie are missing each other and their friend Big Bird They want to meet at Big Bird's nest which is halfway from their
algol [13]

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

   distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

 in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

4 0
2 years ago
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