Answer:
$1,649.80
Step-by-step explanation:
Sydney will have earned $1293.35 in interest by her 60th birthday.
How to find interest?To solve this problem, we need to use the formula for continuously compounded interest:
A = P [tex]e^{rt}[/tex]
Where:
A is the final amount of money in the account (including principal and interest)
P is the initial principal (in this case, $400)
r is the interest rate (in this case, 3.7% per year)
t is the number of years the money is invested (in this case, 39 years)
e is the mathematical constant approximately equal to 2.718
Plugging in the values from the problem, we get:
A = $400[tex]e^{0.037 \times 39}[/tex]
Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35
Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.
To learn more about Compound interest click here:
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Please help, I will give brainliest to whoever helps!
Help! Perimeter problem!
Answer:
9.7
Step-by-step explanation:
If you see one side has the exact same numbers on the other side its the same thing from one end to the other
HOPE THIS HELPED
Helpppp I need this for rn thank youuuuu❤️
Answer:
-1,7
0,-3
1,-7
5,47
Step-by-step explanation:
-x-=+
Annabella rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that the first cube shows a one and the second one shows a one?
helppp helping my sister
Answer:87
Step-by-step explanation:
Answer:
87 (check the answer key at the back of the book)
Step-by-step explanation:
pls help meee
Angle XYZ is shown.
Which point lies in the interior of angle XYZ?
A. point V
B. point W
C. point X
D. point Y
Answer: Point W
Its the Only interior point.
Pls help me on this what is the correct answer
Answer:
C 61,705
Step-by-step explanation:
10.9% of 35,000 = 3,815
3,815 x 7 = 26,705 (interest is added per year and 3,815 is the interest amount)
35,000 + 26,705 = 61,705 ( the original loan plus the interest for 7 years)
4.
Find the slope of the line.
A. 2/3
B. 3/2
C. -2/3
D. -3/2
Answer:
B 3/2
correct if I'm wrong
Answer:
B. 3/2
Step-by-step explanation:
The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?
area of a circle = [tex]\pi r^{2}[/tex]
circumference =[tex]2\pi r[/tex]
Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m
we have the circumference of the inner circle which is 270.04 we can find the value of m using that
[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]
the radius of the inner circle is therefore 42.98
and the full circle has a radius off 65.02
area of shaded region = area of full circle - area of inner circle
area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]
area of shaded region = [tex]13281.39 - 5803.4[/tex]
area of shaded region = 7478 rounded off to the nearest whole number
Select ALL possible solutions for x that make the statement true.
Inequality: x ≤ 10
Solutions:
8
9
10
11
12
Use a definite integral to find the area under the curve between the given x-values. f(x) = 3 x from x = 1 to x = 8
Answer: 94.5
Step-by-step explanation:
Given
Function is [tex]f(x)=3x[/tex] and the boundary is [tex]x=1\ \text{to}\ x=8[/tex]
Integrating the function
[tex]\Rightarrow I=\int_{1}^{8}f(x)dx\\\\\Rightarrow I=\int_{1}^{8}3xdx\\\\\Rightarrow I=\left ( \frac{3x^2}{2} \right )_1^8\\\Rightarrow I=1.5(8^2-1^2)=1.5(64-1)\\\Rightarrow I=94.5[/tex]
The value of integral is 94.5
A rectangle has a width of 4 units and a length of m units write an expression for the area of this rectangle
10 points
Answer:
4m units squared
Step-by-step explanation:
Area = Length x Width
Area = m x 4
Area = 4m units squared
H ELP!!!
Question 4 of 7
Which stem-and-leaf plot represents the data sets shown?
Set A Set B
67 72
71 68
84 85
62 76
56 76
A.
The figure shows a stem-and-leaf plot for two sets Set Upper A and Set Upper B. Stem column is shown in the middle and the leaf columns for Set Upper A and Set Upper B are shown on the left and on the right respectively. For stem as 5, there is 6 in the left column, for stem as 6, there are 2 and 7 in the left column and 8 in the right column. For stem as 7, there is 1 in the left column and 2, 6, and 6 in the right column. For 8 as stem, there is 4 in the left column and 5 in the right column. To the right of this plot it is labeled 8 as stem and 4 and 5 on the left and right respectively, equals 84 and 85.
B.
The figure shows a stem-and-leaf plot for two sets Set Upper A and Set Upper B. Stem column is shown in the middle and the leaf columns for Set Upper A and Set Upper B are shown on the left and on the right respectively. For stem as 5, there is 6 in the left column, for stem as 6, there are 2 and 7 in the left column and 8 in the right column. For stem as 7, there is 1 in the left column and 2, and 6 in the right column. For 8 as stem, there are 4 and 8 in the left column and 5 in the right column. To the right of this plot it is labeled 7 as stem and 1 on the left and 2 and 6 on the right respectively, equals 71, 72 and 76.
C.
The figure shows a stem-and-leaf plot for two sets Set Upper A and Set Upper B. Stem column is shown in the middle and the leaf columns for Set Upper A and Set Upper B are shown on the left and on the right respectively. For stem as 5, there is 6 in the right column, for stem as 6, there are 2 and 7 in the right column and 8 in the left column. For stem as 7, there is 1 in the right column and 2, 6, and 6 in the left column. For 8 as stem, there is 4 in the right column and 9 in the left column. To the right of this plot it is labeled 8 as stem and 9 and 4 on the left and right respectively, equals 89 and 84.
D.
The figure shows a stem-and-leaf plot for two sets Set Upper A and Set Upper B. Stem column is shown in the middle and the leaf columns for Set Upper A and Set Upper B are shown on the left and on the right respectively. For stem as 5, there is 6 in the left column, for stem as 6, there are 2 and 7 in the left column and 8 in the right column. For stem as 7, there is 1 in the left column and 2, 6, and 6 in the right column. For 8 as stem, there is 4 in the left column. To the right of this plot it is labeled 6 as stem, there are 2 and 7 on the left and 8 on the right respectively, equals 62, 67 and 68.
Which of the following is a function and a relation?
1,500 people were surveyed and 30 out of every
100 people surveyed have freckles. Based on the
results of this survey, how many people do not
have freckles?
Please help me! I have to sumbmit in 15 minutes!
Ava filled 3 cups with different amounts of water. The amounts were 225 ml, 370 ml, and 435 ml of water. Which of the following is the total amount of water, in liters, that Ava used to fill the 3 cups?
Answer:
The answer is 1030 ml
Hope this helps
Answer:
1.03 liters
Step-by-step explanation:
225 + 370 + 435 = 1030 ml
1030ml = 1.03 l
What is the length of the ladder? it’s 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top.
Answer:
approx. 15.23
Step-by-step explanation:
6^2+14^2=c^2
solve the equation b -2 = -2 - 2b
Answer:
No solution
Step-by-step explanation:
b-2+2=+2-2-2b
b=-2b
Tomás is cutting a board into 1/6 yard pieces. If the board is 3 yards long, how many pieces can Tomás cut?
x + 2x +17=25 I need the answer and need do you know how to check if it's right
Answer:
x=8/3
Step-by-step explanation:
x+2x+17=25
3x+17=25
3x=8
x=8/3
Answer:
X = [tex]\frac{8}{3\\}[/tex]
Step-by-step explanation:
What is the slope and y - intercept of the function y = 2x + 1?
Answer:
Slope: 2/1 Y-Intercept: 1
Step-by-step explanation:
what is the perimeter of the larger triangle?
42 ft
Source(s):
Dude trust me
Find the equation of the line that passes through the point (6,14) and is parallel to the equation below.
y =
1 - 4
OA.
y = r - 18
OB.
y = - + 20
y = ģx + 10
OC.
OD
y =
- 52 + 8
Reset
Next Question
Answer:
y = 2x/3 + 10 ; C
Step-by-step explanation:
To write the equation of a straight line, we have the general form as;
y = mx + b
where m is the slope and b is the y intercept
Mathematically from the equation given, the slope value is 2/3
When two lines are parallel to each other , the value of their slopes are the same
What this mean is that the value of the slope of the second line is 2/3
So we have the second line as;
y = 2x/3 + b
To get the value of b, we use the given point where the line passes through
The given point according to the question is the point (6,14)
so using this coordinates, we have
14 = 2/3(6) + b
14 = 4 + b
b = 14-4
b = 10
So the equation of the new line is;
y= 2/3x + 10
Help pls and no links
We know a or b != 0
but a-b==0 so both are the same unknown number
b/a must = 1
so
a/b is equivalent to b/a as a/b=1 as well.
So the last answer choice.
What is the surface area
Please help quick
no links please.
A farm equipment company kept a record of the number of tractors made each month. What is the mean of the numbers? ANSWERS
6
7
9
8
What are the Mean, Median, Mode, and Range for number 6 7 8?
Please help
Answer:
median i think 60
Step-by-step explanation:
median i think is 6
i tried answering this but I don't think its right
Question below in image
Answer:
m=4 n=5
Step-by-step explanation:
2n-1 = 9 because 1 is negative you add it to the 9 so the equation becomes 2n=10 then divide 10 by 2 and you get n=5
m+8 = 3m subtract the lone m (or 1m) from the left to the 3m which gives you 2m=8 then divide 8 by 2 and you get m=4
plug in the numbers to check.
2n-1=9= (2x5)-1=9 | 10-1=9 | 9=9
m+8=3m= 4+8=(3x4) | 12=12
What is the exact circumference of the circle?
A. 8 in
B. 16 in
C. 32 in
D. 48 in
Answer:
Half of 16 is 8 which is your radius,
8 x 3.14(pi) x 2(you always have to use this number because you just need it when solving circumference) = 50.24
Step-by-step explanation:
Formula of circumference:
radius(half of diameter or given radius) x pie/pi some people call it (3.14 or 22/7 use what is supposed to be used) x 2 (always 2)