Sophia has $6,000 to invest. She is considering two investment options. Option A pays 2.2% simple interest. Option B pays 2% interest compounded annually. Use the drop-down menus below to choose which option is the best choice for Sophia for each number of years.
Answers
Answer:
Option A and option B
Step-by-step explanation:
Given that
Sophia wants to invest $6,000
There are two investment options
Option A pays 2.2% simple interest
and, Option B pays 2% interest compounded annually
Now we need to find out which option is the best choice
In the case when Sophia wants to invest for 10 years, so she should select
option A as the investment will have highest value.
In the case when Sophia wants to invest for 20 years, so she should select
option B as the investment will have highest value.
Related Questions
3. A circle with center (0,0) has a y-intercept at (3,0).
Find the equation of the circle.
Answers
Answer:
x^2 + y^2 = 9
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here h = 0, k = 0, x = 3 and y = 0:
(3 - 0)^2 + (0 - 0)^2 = r^2, or
9 = r^2. Thus, the radius is 3.
The equation of this circle is (x - 0)^2 + (y - 0)^2 = 9, or
x^2 + y^2 = 9
Select the correct answer
Answers
Answer:
x = 95°
y = 147°
z = 128°
Step-by-step explanation:
z = 180 - 52 = 128°
x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°
x = 180 - 85 = 95°
y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°
y = 180 - 33 = 147°
Write the quotient as a mixed number. 99 ÷ 5 = 19 R4
PLEASE HELP :(
Answers
Answer:
19 4/5Step-by-step explanation:
99 = 5*19 + 499/5 = 19 + 4/599/5 = 19 4/5Answer:
Solution given
99/5=19 4/5 is your quotient in mixed number.
A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?
Answers
Answer:
-20 feet
Step-by-step explanation:
change in depth = number of feet below the surface + number of depth on the surface
Because the submarine is below surface, a value of -30 would be given
-30 + 10 = -20 feet
11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?
Answers
10 + 10 + 6 + 6 = 32
The required perimeter of the rectangle is 28 units.
What is a rectangle?
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal² [= 10² = 100]
We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100
L² = 100 - 36
L² = 64
L = 8
So the length of the rectangle is 8 units.
To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:
P = 2(8) + 2(6)
P = 16 + 12
P = 28
Therefore, the perimeter of the rectangle is 28 units.
Learn more about rectangles here:
brainly.com/question/15019502
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Last month a bakery sold a total of 3,500 cookies and cupcakes. They sold cookies for $0.75 each and cupcakes for $2 each. If the total sales last month was $4,500, how many cookies and how many cupcakes did the bakery sell?
Answers
Answer:
Number of cookies sold is 2000 and number of cupcakes sold is 1500
Step-by-step explanation:
Let number of cookies be [tex]x[/tex]
and number of cupcakes be [tex]y[/tex] so
[tex]x+y=3500[/tex]
Cost of one cookie is $0.75
Cost of one cupcake is $2
[tex]0.75x+2y=4500[/tex]
[tex]x+y=3500[/tex] [tex]\times 2[/tex]
[tex]2x+2y=7000[/tex]
[tex]-1.25x=-2500\\\Rightarrow x=\dfrac{2500}{1.25}\\\Rightarrow x=2000[/tex]
[tex]y=3500-x=3500-2000\\\Rightarrow y=1500[/tex]
Number of cookies sold is 2000 and number of cupcakes sold is 1500.
A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?
Answers
Answer:
12 ft
Step-by-step explanation:
Given data
Area= 84 ft^2
Length= 7ft
The expression for the area is
Area= L*W
substitute
84=7*W
W= 84/7
W= 12ft
Hence the width is 12 ft
Answer:12ft
Step-by-step explanation:
1. Find the area of each circle. Use 3.14 for A. Round to the nearest tenth.
5cm
RE
Answers
Answer:
78.5 cm²Step-by-step explanation:
Area of circle:
A = πr²A = 3.14*5² = 78.5 cm²
I need Help please!!
Answers
The ages of six boys are given as 12years 3 months,18years 10months,18years 8months,13years 4months,17years 11month and 15years respectively, what is their average age?
Answers
12+0.25+18+0.83+13+0.333+17+0.916+15=77.326
77.326/11=7.029 which rounds to 7
What is the probability of landing on a 9 and then landing on a 7?
Answers
Answer:
what are we landing on? D 10s D20s?...
Step-by-step explanation:
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Will give brainiest help please
Write the equation of the line in Slope-Intercept Form.
(-2,3),(0,-1)
Answers
please help
if your gonna scam just leave i really need help
Answers
Answer:
x = 23
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180
That being said we can create an equation to solve for x
180 = 2x + 3x + 1 + 3x - 5
Now we solve for x using basic algebra
step 1 combine like terms
2x + 3x + 3x = 8x
1 - 5 = -4
now we have 180 = 8x - 4
step 2 add 4 to each side
-4 + 4 cancels out
180 + 4 = 184
now we have 184 = 8x
step 3 divide each side by 8
8x/8=x
184/8=23
we're left with x = 23
Sarah had 25 candies. Sarah gave 2/5 of the candies to her sister. Of the amount left, she gave 2/3 to her friend. How many candies does Sarah have left for herself?
Answers
Answer:
5 candies left for herself
Step-by-step explanation:
A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible lengths of the legs?
Answers
Answer:
The possible length of the triangle =
1) (1inches, 196inches)
2) (2incheq, 98inches)
3) (4inches , 49 inches)
4) (7 inches , 28 inches)
Step-by-step explanation:
We are told the above Triangle is not an Isosceles Triangle
Hence, we assume it is a right angle triangle
The area of a triangle is = 1/2 × Base × Height
= let us represent Base and Height = x
Hence:
1/2 × x × x = 98
x² /2 = 98
Cross Multiply
x² = 98 × 2
x² = 196
Step 2
We find the factors of 196
1× 196 = 196 (1, 196)
2 × 98 = 196 (2, 98)
4 ×49 = 196 (4, 49)
7 × 28 = 196 (7, 28)
Therefore, all the possible length of the triangle =
1) (1inches, 196inches)
2) (2incheq, 98inches)
3) (4inches , 49 inches)
4) (7 inches , 28 inches)
what inequality is equivalent to 2/3x - 5 <11 ?
Answers
Consider this right triangle...
Omg pleaseeeee help me!! I have SBA Math Test on Friday and I forgot everything I learned last year from Geo. Help would be very very much appreciated!! WILL GIVE BRAINLIEST!! Thank you so muchhhhh <3
Answers
Answer:
33°
Step-by-step explanation:
have a nice day!! :)
One customer paid $12 for 14 postcards and 5 large envelopes. Another customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?
Answers
Answer:
$1.42
Step-by-step explanation:
Since, The first customer paid $12 for 14 postcards and 5 large envelopes.
That is, 14 x + 5 y = 12 ------ (1)
And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.
That is, 10 x + 15 y = 24.80 -------(2)
3 × equation (1),
We get, 42 x + 15 y = 36 ---------(3)
Equation (3) - Equation (2)
32 x = 11.20
⇒ x = 11.20/32
⇒ x = 0.35
By putting the value of x in equation (1),
We get, 14 × 0.35 + 5 y = 12
⇒ 4.9 + 5 y = 12
⇒ 5 y = 7.1
⇒ y = 1.42
Thus, the cost of one postcard = $ 0.35
And, the cost of each large envelope = $ 1.42
Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions.
Equation: −6x2−6=−7x−9
Discriminant: Answer
Solutions:
Answers
Answer:
-6x² - 6 = -7x - 9-6x² + 7x - 6 + 9 = 0-6x² + 7x + 3 = 06x² - 7x - 3 = 0Discriminant:
D = (-7)² - 4*6*(-3) = 49 + 72 = 121Since D > 0, there are 2 real solutions:
x = (- (-7) ±√121 )/12x = (7 ± 11)/12x = 1.5, x = -1/3Find the circumference
Answers
C=D x 3.14
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
diameter = 12cm
radius(r) = diameter ÷ 2radius(r) = 12 ÷ 2radius(r) = 6cmC = 2πr= 2 × 22/7 × 6Circumference = 37.7 cmhelp
What is the domain and range of the exponential graphed below?
A.Domain: All real numbers
Range: y > -4
B.Domain: All real numbers
Range: All real numbers
C.Domain: x > 0
Range: y < -6
D. Domain: All real numbers
Range: y > 0
Answers
Answer:
B
Step-by-step explanation:
I just did the test
The range and domain of the function exists on all real values
Domain and Range of functionsDomain of a function is the value of the input of graph for which the function exists.
The range of a function is the value of the output of graph for which the function exists.
The given graph denotes an exponential function showing the arrow pointing infinitely in both directions. Hence the range and domain of the function exists on all real values
Learn more on range and domain here: https://brainly.com/question/2264373
Need help on this one last question
Answers
Answer:
available
Step-by-step explanation:
if its available if available comment
evaluate 5^28·5^-32·5^-4
A. 17,920
B. 0.017920
C. 0.000256
D. 0.00000256
Answers
Answer:
D 0.00000256
Step-by-step explanation:
[tex]5^{28} *5^{-32}*5^{-4}=5^{28-32-4}=5^{-8}=\frac{1}{5^{8}} =0.00000256[/tex]
Answer:
B. 0.000256
Step-by-step explanation:
5^28 . 5^- 32 . 5^ -4
= 5^( 28 - 32 - 4 )
= 5^( 28 - 36 )
= 5^- 8
= 1 / 5^8
= 1 / 390625
= 0.000256
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. Which color marble is most likely to be picked?
Answers
Answer:
A red marble
Step-by-step explanation:
First, add all of the possible combinations of marbles that can be picked from the box ( 2 + 2 + 3 + 5 = 12 ). Next, write down the amount of each marble ( 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles). Then, find the marble that appears most in the box. (red marble). Finally, not only have you found that the red marble is most likely to be picked, you also know the probability of picking a red marble, (5/12).
Answer: red
Step-by-step explanation:
bakit mahalagang matutunan ang mga angkop na pahayag sa panimula gitna at wakas mg isang akda
Answers
Answer:
i understand your statement my good sir but, what is the question?
Step-by-step explanation:
Megan has $45.12 in her purse. She spends $7.89 for lunch and $21.25 for a pair of sunglasses.
Which is the best estimate for the amount of money Megan has left?
Answers
Answer:
Hello Love!
A good estimate would be 15 or 16 dollars left
Hope this helps!
Answer:
$15.98
Step-by-step explanation:
45.12-7.89=37.23
37.23-21.25=15.98
Hello, I need help! The question is "Today you will look over the following problem that Nancy worked and explain what she did incorrectly and why it does not work. Then tell me what information Nancy would need to know in order to use this theorem correctly"
Answers
Answer:
Step-by-step explanation:
Remark
The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?
It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).
The ratios are still true, but the angles do not match. So the whole answer is incorrect.
At a glass vase factory, 2 out of the last 20 vases produced were chipped. Considering this data, how many of the next 10 vases would you expect to be chipped?
Answers
2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.
I would expect 1 out of the next 10 to be chipped.
Answer:
1
Step-by-step explanation:
Look at the inequality.
3y > 27
Which set of values for y will make this inequality true?
A. 4,5,8
B. 5, 7,9
C9, 12, 14
D. 11, 13, 22
Answers
Answer:
D) 11,13,22
Step-by-step explanation:
If 3y>27, then y>9. Therefore, D is the correct answer (C is not correct BTW because 9 isn't included in the inequality).
What is the solution to follow system of equations?
x-3y=7
2x-6y=12