Answer:
A≈107902
Step-by-step explanation:
The $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
p = $90,000
r = 2.6% = 0.026
n = 4
t = 7 years
[tex]\rm A = 90,000(1+\dfrac{0.026}{4})^{4\times7}[/tex]
A = $107,901.71 ≈ $107,902
Thus, the $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly.
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Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -170 feet. Then she continued to hike down another 20 minutes at a different rate. Her change in elevation for this part of the hike was -260 feet. During which portion of the hike did she walk down at a faster rate?
PLEASE HELP
What is x?
A. 0.75
B. 1.25
C. 1.67
D. 1.33
Answer:
D. 1.33
Step-by-step explanation:
[tex] \because \: x = tan (\theta) \\ \\ tan (\theta) = \frac{4}{3} \\ \\ tan (\theta) = 1.33 \\ \\ \implies \: x = 1.33[/tex]
Write 8% as a fraction or mixed number in simplest form.
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
All percents can be written as a fraction with their denominator as 100.
So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.
[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)
Now, the numerator would be 2 and the denominator would be 25 as shown below ...
[tex]\frac{2}{25}[/tex]
This is the simplest form of 8% as a fraction
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!
The simplest form of the 8% as a fraction is 2 / 25.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.
Fraction = 8 /100
Fraction = ( 4 x 2) / ( 4 x 25)
Fraction = 2 / 25
Thus, the 8% in the fraction is 2 / 25.
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HELP ASAP PLEASE LEAVE SMALL EXPLANATION ITS DUE RLLY SOON
Answer:
1. y=3x-4
2. y=-3x+4
3. y= -1/3x+4
4. y= 1/3x-4
Step-by-step explanation:
1. slope= change in y/ change in x
slope= -1-(-4)/1-0=3
y=3x+b
-4=3(0)+b
b=-4
y=3x-4
2. slope=4-10/0-(-2)= -3
y=-3x+b
b=4
y=-3x+4
3. slope= -1/3
y=-1/3x+b
3= -1/3(3)+b
3= -1+b
b=4
y= -1/3x+4
4. y= 1/3x-4 (last one)
Write 5.7% as an equivalent decimal.
O
A 5.7
O
B 0.57
O
C 0.057
D 570
Answer:
the answer is C
Step-by-step explanation:
[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]
15 lb 7 oz - 6 lb 8 oz
Answer: 8.5lbs 7 oz
Step-by-step explanation:
8oz=.5lbs
15lbs 7oz-6.5lbs=
8.5lbs 7 oz
Anyone can answer?? if u can thank u soooo much it means the world to me
Answer:
Tulips• 7, 14, 21, 28 and 35.
Carnations• 3, 6, 9, 12 and 15.
Other:
Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!
whats 7, −6, 4, −10, 3 least to greatest
Answer:
-10, -6, 3, 4, 7
Step-by-step explanation:
Hope it helps ^^
y=-x-4
4y - 2x = 8
Using the graphing method, which of the following choices is the solution of the system:
ОООО
(-6, -2).
(-4, 0)
Infinite solutions
No solution
Answer:
(-4 , 0)
Step-by-step explanation:
Graph attached
1 4/7
_______
- 15/ 21
Answer: -11/5
Step-by-step explanation:
[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]
-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]
-11×[tex]\frac{3}{15}[/tex]
-11 × [tex]\frac{1}{5}[/tex]
What’s three more than seventeen?
Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?
x
x − 1
2x − 3
3x − 2
Answer:
3x - 2
Step-by-step explanation:
3 times Kim's age (x), so 3x; minus 2 years (Sam's age).
Answer:
The answer is 3x - 2 :)
Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2
Find θ. Round to the nearest degree. Right Triangle Trigonometry.
Answer:
64 =theta
Step-by-step explanation:
We have a right triangle.
We know the adjacent side and the hypotenuse
adjacent/ hypotenuse = cos theta
7/16 = cos theta
Take the inverse cos of each side
cos ^-1 ( 7/16) = cos ^ -1 cos theta
64.05552023 = theta
64 =theta
Answer:
≅ 64°
Step-by-step explanation:
using rule of cos invers
[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]
Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need to complete
Answer:
18
Step-by-step explanation:
30*0.4=12
This means 40% of 30 is 12 and Ana has completed 12 problems.
30-12 = 18, so she still needs to do 18 problems.
16 > 2y - 4 solve for y
Answer: y<10
Step-by-step explanation:
2y<16+4
2y<20
y<10
Answer:
Step-by-step explanation:
Simplifying
16 = 2y + -4
Reorder the terms:
16 = -4 + 2y
Solving
16 = -4 + 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
16 + -2y = -4 + 2y + -2y
Combine like terms: 2y + -2y = 0
16 + -2y = -4 + 0
16 + -2y = -4
Add '-16' to each side of the equation.
16 + -16 + -2y = -4 + -16
Combine like terms: 16 + -16 = 0
0 + -2y = -4 + -16
-2y = -4 + -16
Combine like terms: -4 + -16 = -20
-2y = -20
Divide each side by '-2'.
y = 10
Simplifying
y = 10
A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)
If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.
What is the observed frequency of her 6th season?The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:
Expected frequency = (65/100) * 150 = 97.5
The observed frequency of successful free throws in the 6th season is 105.
To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:
z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))
total sample size = 150
expected frequency = 97.5
observed frequency = 105
z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28
The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.
Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.
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Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
A, 2 5/8 cups
Step-by-step explanation:
Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.
3/4 + 1/12 helppppppppppppppp
Answer:
The answer is 5/6.
Step-by-step explanation:
There are 36 students in Mr. Barrett's math class. If 25% of the students are boys, how many students are girls?
Answer:
27 of the students are girls
Please answer quick
Answer:
4# 4x2 + 6x - 6
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6
Hope you'll find it helpfull
42. Which of the following is TRUE about the princal square riot
number?
A. always positive
C. sometimes positive
B. always negative
I sometimes negative
Answer:
a. always positive
Step-by-step explanation:
Alex learning?
I need help asap thx
Answer:
with what lol
Step-by-step explanation:
Answer:
Theres no question
Step-by-step explanation:
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the
number of minutes.
On a piece of paper, graph c(x) = 3x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels,
Answer:
Graph D is the correct answer
Step-by-step explanation:
The graph of is attached.
The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.
Also, the slope of is 2, and the y-intercept is 2.
Now let us look at the choices given and determine which graph represents the function .
The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.
The second graph has y-intercept of 3—also not our graph.
The third graph also has a y-intercept of 3—this does match our graph either.
The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.
Therefore, the graph that matches our graph is D.
can somebody do this please
Answer:
12y - x - 28 = 0
Step-by-step explanation:
............
A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank? (Round your answer to the nearest tenth)
Group of answer choices-
4.3
5.5
6.5
8.7
please help me!!!!!
Answer:
y=1
-4x + y= -3
-3 + 12= 9
y= {4}x + {3}
Step-by-step explanation:
*there is always a inviable 1 in front of a virable by it's self.*
p: Las Vegas is the capital of Nevada.
q: There are 10 inches in a foot.
Use: pvq
Answer:
P= Carson City
Q= 12 inches long
plz help this is very confusing
Answer:
[tex] x \ge 15 [/tex]
Step-by-step explanation:
An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.
Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.
Thus, using inequality, this can be represented as:
[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]
Solve for x
[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]
Add like terms
[tex] 8x + 17 \ge 137 [/tex]
Subtract 17 from both sides
[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]
[tex] 8x \ge 120 [/tex]
Divide both sides by 8
[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]
[tex] x \ge 15 [/tex]
Estimate the value of y when x=2.5
please help me with this one :(
Answer:
I can assure you, that this is not that hard. but. I will help you with one of them.
Step-by-step explanation:
audience-look it up in the dictionary
it's basically a crowd of people.
sebtence- I listened to the audio of the audio book.