Answer:
39.58
Step-by-step explanation:
49.15-16.23=32.92
32.92+35=67.92
67.92-8.34=59.58
59.58-20=39.58
Her balance is $39.58
Hope this helps
Answer:
49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58
which statements are true about the trigonometric ratios of this triangle
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
sin(30°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(60°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
sin(60°) = = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
Options (1), (2), (3) and (4) are the correct options.
A line goes through the points (-3,-6) and (6,9). Find the slope
Answer:
Slope = 5/3
-------------------
m = 5/3
Answer:
5/3
Step-by-step explanation:
Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:
9-(-6)/6-(-3)
Since both are negatives, you would add it like this:
9+6/6+3= 15/9
Now, you need to simplify this fraction which is 5/3.
Suilin needed 7 dollars 13 cents to buy a book. In her wallet, she found 3 dollar bills, 4 dimes, and 14 pennies. How much more money does Suilin need to buy the book?
Answer:
$3.49
Step-by-step explanation:
Antonio buys 2.25 pounds of grapes at the store. The grapes are on sale for $1.20 per pound. How much will Antonio pay for the grapes?
Answer:
$2.70
Step-by-step explanation:
Create a proportion from the given set of numbers: 3,6,7,14
Answer
3:6=7:14
Step-by-step explanation:
pls make me branliest
Subtract.
56 2/3−18 5/7
Enter your answer as a mixed number in simplest form
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Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
what is 3√500 in simplify form
answers
5√4
4√5
25√5
100√5
Answer:
30[tex]\sqrt{5}[/tex]
Step-by-step explanation:
3[tex]\sqrt{500}[/tex] = 3[tex]\sqrt{100}[/tex] [tex]\sqrt{5}[/tex] = 3(10)[tex]\sqrt{5}[/tex]
Answer:
none of the above
30√5
Step-by-step explanation:
3 √500
3√25x4x5
3x5x2√5
30√5
The satellite Space Explorer flies 32000 miles in 8 hours. Find the rate of change.
Answer:
4000 miles an hour
Step-by-step explanation:
32000 ÷ 8 = 4000 miles an hour
If the diameter of a circle is 8, then what is its area and its circumference?
Answer:
A≈50.27
Diameter = 8
Using the formulas
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·82≈50.26548
Answer:
I think it would be 50.24
Step-by-step explanation:
Here's what I did:
1. Diameter = 8 so radius = 4
2. 4 to the second power is 16
3. 16 × 3.14 = 50.24
I'm not sure if what I did is correct, but I hope this helps! :)
help me and I’ll give you brainliest
Answer:
50m
Step-by-step explanation:
The triangles are similar, so their sides are in ratio:
BC/BE=AD/ED
j/46=25/23
j=(25/23)(46)=50
using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
Answer:
See below
Step-by-step explanation:
Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:
(ax+p)(x+q) where p+q=b and pq=c
wright an inequality that would have infinite solutions x≥6 I really need help
Answer:
n - 6 > 2 n > 8
Step-by-step explanation:
You can get inequalities that are false for any variable. These inequalities have no solution. You can also get inequalities that are true for any variable. These have an infinite number of solutions.
I think sorry if I'm not right.
a/5=b/7 if b#0 what is the value of a/b
Answer:
A = 20
b = 28
Step-by-step explanation:
a = 20/5 = 4
b = 28/7 = 4
What is the distance between (-5, -8) and (-1, -16)
(4,-8)
Step-by-step explanation:
from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16
10. Beth has a wooden box. The inside of the box is 5 inches wide, 8.25
inches long, and 4.5 inches tall.
Answer:
185.625in^2
Step-by-step explanation:
This is volume right?
5*8.25*4.5=
If a trip is 2 1/2 hours in a rain storm but 5/6 of that on a sunny day how long is the trip on a sunny day
If you flip three fair coins, what is the probability that you'll get heads on the first two flips and tails on the
last flip?
Answer:
1/8
Step-by-step explanation:
Khan Academy
Answer:
1/8
Step-by-step explanation:
Khan Academy
Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU
What is the rule for dividing a fraction explain.
Answer:
When students see a number that ends in an even digit, they should know the number can be divided into two evenly. However, numbers that end in odd digits can be divided by two, they'll just have a remainder or decimal.
Step-by-step explanation:
FSA Mathematics Practice Test Questions
Session 1
2.
What fraction is represented by point A on the number line shown?
Math problem 8/3+(-9/4)
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Answer: =5/12
Step-by-step explanation: Hope this help :D
What is Olun 1
[tex] \frac{5}{6} - \frac{1}{4 } [/tex]
need help
Answer: =7/12
Step-by-step explanation:
URGENT PLEASE HELP !!!
Answer:
36
Step-by-step explanation:
AB=AC+BE
AB=10+26
AB=36
Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
A) Find the component form of vector BE.
B) Find the component form of vector UL.
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
which expression is equivalent to n+n+n+n? pick outta these A n4 B 4n C4n to the power of 4 D n+4
Answer:
B
Step-by-step explanation:
Answer:
the answers b sorry if it's wrong
Step-by-step explanation:
have a great day
How many miles did Byron drive? Please do not guess!
=======================================================
Explanation:
The distance from his house to the gas station is 5 miles. We can find this by counting out the number of spaces between the two points (since the chart indicates that 1 unit = 1 mile). Or we can subtract the x coordinates to get 8-3 = 5. This only works because the y coordinates of each point are the same value.
To find the distance from the gas station to the market, we subtract the y coordinates this time. This only works due to the x coordinates being the same. We get a distance of 8-3 = 5 miles.
Overall, the total distance Byron drives is 5+5 = 10 miles.
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
Which fractions equal the whole number 3?
Answer:
9/3=3
Step-by-step explanation:
3 goes into 9 3 times
3,6,9
PLEASE HELP FAST!!!!
The area of the rubber coating for a flat roof is 96 square feet. The
rectangular frame the carpenter built for the flat roof has dimensions such
that the length is 4 feet longer than the width. What are the dimensions
of the frame?
Answer:
width is 8, length is 12
Step-by-step explanation:
l = w+4
l x w= 96
4+w x w = 96
w^2 +4w -96 = 0
w+12 W -8
w = 8
The dimensions of the frame are 8 feet in width, 12 feet in length.
Calculations and ParametersGiven the data:
[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]
Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.
Read more about length and breadth here:
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