Answer:
200
Step-by-step explanation:
100% ----------- 280
90% ------------280/100 x 90 = 252
126% ------------ 252
100%-------------252/126 x 100 = 200
Use the inverse trigonometric keys on a calc to find the measure of Angle A.
Step-by-step explanation:
θ = [tex]cos^{-1}[/tex] 17 m/27 m = 50.9°
Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.
The question is incomplete:
Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.
Which bank will provide the largest balance if you plan to invest $10,000 for 10 years? For 20 years?
Answer:
-The bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank.
-The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank.
Step-by-step explanation:
First, you have to calculate the balance if you invest the money in Student Friendly Bank. To do it, you have to use the simple interest formula to calculate the future value:
FV=PV(1+rt)
FV= future value
PV= present value
r= rate
t=time
-10 years:
FV= 10,000(1+(0.025*10))
FV= 10,000(1+0.25)
FV=10,000(1.25)
FV=12,500
-20 years:
FV= 10,000(1+(0.025*20))
FV= 10,000(1+0.5)
FV=10,000(1.5)
FV=15,000
Second, you have to calculate the balance if you invest the money in Student Neighborhood Bank. To do it, you have to use the compound interest formula to calculate the future value:
FV=PV(1+(r/m))^mt
FV= future value
PV= present value
r= rate
t=time
m=number compounding periods per year
-10 years:
FV=10,000*(1+(0.021/12))^12*10
FV=10,000*(1+0.00175)^120
FV=10,000*(1.00175)^120
FV=12,334.5
-20 years:
FV=10,000*(1+(0.021/12))^12*20
FV=10,000*(1+0.00175)^240
FV=10,000*(1.00175)^240
FV=15,214
According to this, the bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank because it will provide $12,500 and Neighborhood Bank will provide $12,334.5.
The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank because it will provide $15,214 and Student Friendly Bank will provide $15,000.
HELP ME PLEASE WILL MARK BRAINLIEST
Answer:
Bottom Left
Step-by-step explanation:
Break up the numbers to 7, and -8.
Break up the fractions to 1/5 and -3/5.
I will make you as brainliest!!! Please help me!!! Suggest a committee that needs 5 members to plan a fundraiser. The candidates consist of 24 girls and 16 boys. What is the probability that at most 2 girls will be on the committee?
Answer:
69/195
Step-by-step explanation:
So u add 24 and 16 to find the total number of people who are there
The total is 40
If they want at least 2 girls
So one of the probability for one girl is 24/40 which is 3/5
The other probability of another girl is 23/39
So u multiply 23/39 by 3/5 which is 69/195
Correct me if this is wrong
Sorry
Answer:
30.77%.
Step-by-step explanation:
There are a total of 40 members.
24 girls 16 boys.
Prob( 0 girls being chosen - so all boys ) = 16/40 * 15/39*14/38* 13/37*12/36 = 0.0063956
Prob( first one to be chosen is a girl then all boys) = (24/40*16/39*15/38*14/37*13/36) = 0.013276
There are 5 ways of 1 girl being chosen so
Prob(1 girl out of 5 chosen) = 0.013276 * 5 = 0.06638
Prob( First 2 chosen are girls then all boys) = 24/40 * 23/39 * 16/38*15/37*14/36
= 0.023489
Number of ways of 2 girls being chosen is 5C2 and so the probability of 2 girls
= 0.023489 * 5C2
= 0.023489 * 10
= 0.23489.
Required probability = 0.23489 + 0.06638 + 0.0063956.
= 0.3076656
= 30.77% to the nearest hundredth.
What is 275 divided by 20 in lowest form? Please explain it like you would explain it to a 4 yr old cuz I’m really stupid. I keep getting 13 remainder of 15 but when I look it up it says it 13 3/4 so what do I do to go from 13 remainder of 15 to 13 3/4?
Answer: So think about it this way. 20 goes into 200 ten times, right?
After that, you have 75 left. 20 goes into 60 3 times. After that, you have 15 left.
But wait, 20 can't go into 15 as a whole. So you have to make that a fraction.
15/20. That fraction can be simplified! Divide each part by five. The you get 3/4.
So add up the times you put 20 in. First it was 10 to get to 200, then it was 3 to get to 60. Then it was 3/4 to get to 15.
Now you have 13 3/4
please mark brainliest
Chris has a bucket with paper clips. It has 9 green paper clips and 21 orange paper clips. Chris randomly draws a paper clip, records the color, and returns the paper clip to the bucket. After doing 10 experiments, he found that he drew an orange paper clip 70% of the time. What kind of comparison can be made?
The percentage is likely to decrease with more trials. Or, the percentage is likely to remain the same with more lanes. Or the percentage will likely increase with more experiences.
Answer:
likely remain the same
Step-by-step explanation:
as their ratio from green to orange paper clips is 9:21 meaning it is very likely to draw a orange. If calculated 9/30 is 30 percent meaning there is a 30 percent chance of drawing green. We can conclude there is a 70 percent chance of drawing green mathematically
Select the correct solution set.
X+17 5 -3
{XIX2-20)
{XIXS-20)
[xl xs 14
Answer:
x≤-20
Step-by-step explanation:
x+ 17≤-3
Subtract 17 from each side
x+ 17 -17≤-3-17
x≤-20
Which expression is equivalent to the given expression?
Answer:
20cd-¹ or
[tex] \frac{20c}{d} [/tex]
Step-by-step explanation:
just do calculate
10 x 2 = 20
c⁶ x c-⁵ = c⁶+(-⁵) = c¹ = c
d-⁵ x d⁴ = d-¹
help please writer the answer as letters
Answer:
B, D, D
Step-by-step explanation:
the correct answer for A is choice B. answer choice C is correct for question B.
Step-by-step explanation:
answer choice D is correct for C.
Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. Jillian pays $72 a month and $0.12 per text message sent. How many texts would each of them have to send in order for their bill to be the same amount at the end of the month?
Answer:
When they send 25 texts each, their bills will be equal
Step-by-step explanation:
Let the number of text messages that makes their bill equal be x
Jorge will have a bill of = 50 + x(1) = 50 + x
Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x
Since their bills will now be equal, we equate both
50 + x = 72 + 0.12x
72-50 = x-0.12x
22 = 0.88x
x = 22/0.88
x = 25 texts
If A(4 -6) B(3 -2) and C (5 2) are the vertices of a triangle ABC fine the length of the median AD from A to BC. Also verify that area of triangle ABD = Area of triangle ACD
Answer:
a) The median AD from A to BC has a length of 6.
b) Areas of triangles ABD and ACD are the same.
Step-by-step explanation:
a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:
[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]
[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]
[tex]D(x,y) = (4,0)[/tex]
The length of the median AD is calculated by the Pythagorean Theorem:
[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]
[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]
[tex]AD = 6[/tex]
The median AD from A to BC has a length of 6.
b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:
[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]
[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]
[tex]AB \approx 4.123[/tex]
[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]
[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]
[tex]AC \approx 4.123[/tex]
[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]
[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]
[tex]BC \approx 4.472[/tex]
[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)
[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]
[tex]BD = CD = 2.236[/tex]
[tex]AD = 6[/tex]
The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:
[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]
[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]
Finally,
[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ABD} = 6.180[/tex]
[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ABD} \approx 3.004[/tex]
[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ACD} = 6.180[/tex]
[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ACD} \approx 3.004[/tex]
Therefore, areas of triangles ABD and ACD are the same.
find -8 ÷ -1/2=
quickly
-4.5
i guess this is the answer
The probability that a biased coin will land on Heads is 0.43
Azmol is going to throw the coin 600 times.
Work out an estimate for the number of times the coin will land on Tails.
Answer:
[tex]342[/tex]
Step-by-step explanation:
The probability of heads landing is 0.43.
The probability of tails landing is 1-0.43=0.57.
Azmol throws the coin 600 times, so:
[tex]600 \times 0.57[/tex]
[tex]=342[/tex]
This year, Arvin and Mariah were in charge of making orange juice for campers. They planned to make the juice by mixing water and
frozen orange juice concentrate. To find the mix that would taste best, they decided to test some mixes.
Mix A: 2 cups concentrate
3 cups cold water
Mix B: 5 cups concentrate
9 cups cold water
Mix C: 1 cup concentrate
2 cups cold water
Mix D: 3 cups concentrate
5 cups cold water
1. Which mix will make juice that is the most 'orangey"? Explain your reasoning.
2. Which mix will make juice that is the least 'orangey"? Explain your reasoning
Answer:
Mix A is the most orangey, Mix C is the least orangey
Step-by-step explanation:
Mix A largest proportion of concentrate to water
Mix C is the smallest proportion of concentrate to water
Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of slope, where x is the horizontal distance in feet and f(x) is the vertical distance in feet. Graph X / 0 / 20 / 40 / 80 / 160 F(x)/ 8 / 6 / 4 / 0 / 8 If the drain is at the minimum point, how far is it from the wall defined by the y-axis? 0 feet 8 feet 80 feet 160 feet
Answer:
80ft
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
t – 7 = 8 I know this problem is an because it has an equals sign. The t is the . The negative sign is the . The 7 and the 8 are both .
Answer:
1. equation
2. variable
3. operation
4. constants
i took this on edge so i know the answers ^-^
what is 1/3 of 48 in numbers
Answer:
16
Step-by-step explanation:
Multiply it by 1/3 and it equals 16
Answer:
16
Step-by-step explanation:
48/3=16
i need help help pls
Answer:
MAD = 2
Step-by-step explanation:
First We'll find the mean of data
Mean = [tex]\frac{20}{5}[/tex]
Mean = 4
Then, we'll find absolute deviation
=> |4-3| = 1
=> |4-2| = 2
=> |4-1| = 3
=> |4-1| = 3
=> |4-3| = 1
Now, taking the mean of these absolute deviations:
MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]
MAD = [tex]\frac{10}{5}[/tex]
MAD = 2
A geometric sequence is represented by a Subscript n Baseline = a Subscript 1 Baseline r Superscript n minus 1. What is the fifth term of a geometric sequence where a Subscript 1 Baseline = 4,096 and the common ratio is Negative one-fourth?
Answer:
16Step-by-step explanation:
Given the nth term of a geometric sequence represented as [tex]Tn = a_1r^{n-1}[/tex]
[tex]a_1[/tex] = first term of the sequence
n = number of terms
r = common ratio
Given [tex]a_1 = 4,096,\ r = -\frac{1}{4} , n = 5[/tex](fifth term of the sequence)
[tex]T_5 = 4,096(-\frac{1}{4} )^{5-1}\\ T_5 = 4,096(-\frac{1}{4} )^{4}\\T_5 = 4,096(\frac{1}{256} )\\T_5 = 16[/tex]
The fifth term of the geometric sequence is 16
Answer:
this is the answer for edge 2020-2021
Step-by-step explanation:
sum- -204.8
Please help me with this math problem
Answer:
y = x+2
Step-by-step explanation:
First find the slope using two points (0,2) and (5,7)
m = (y2-y1)/(x2-x1)
= (7-2)/(5-0)
= 5/5
= 1
We have the y intercept ( where it crosses the y axis) =2
y = mx+b where m is the slope and b is the y intercept
y = 1x +2
y = x+2
=============================================================
Explanation:
The two red points are (0,2) and (5,7)
Find the slope of the line through (x1,y1) = (0,2) and (x2,y2) = (5,7)
Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (7 - 2)/(5 - 0)
m = 5/5
m = 1
The slope is m = 1.
The y intercept is b = 2 as this is where the diagonal line cuts through the y axis.
Therefore y = mx+b turns into y = 1x+2, which is the same as y = x+2
This says: "whatever the input x is, add 2 to it to get the y output". So for instance, if the input is x = 5, then we add on 2 to get y = x+2 = 5+2 = 7. This shows how (5,7) is one point on the diagonal line.
Please answer correctly......Leslie has a box of markers. There are 3 black, 4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5 green markers. Which of the following is a sample space of possible outcomes for choosing one marker?
Answer:
A
Step-by-step explanation:
possible outcomes for choosing one marker is 1/19
so there for the answer is A
Solve.
5 3
+
8 4
-2 5
3 6
11
-216
12
Answer:
[tex]-\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{8}+\frac{3}{4}}{-\frac{2}{3}-\frac{5}{6}}[/tex]
Working on the denominator,
[tex]-\frac{4}{6}-\frac{5}{6}=\frac{-9}{6}=-\frac{3}{2}[/tex]
[tex]\frac{\frac{5}{8}+\frac{3}{4}}{-\frac{3}{2}}[/tex]
Working on the numerator,
[tex]\frac{5}{8}+\frac{3}{4}=\quad \frac{11}{8}[/tex]
[tex]\frac{\frac{11}{8}}{-\frac{3}{2}}[/tex]
[tex]-\frac{11\cdot \:2}{8\cdot \:3}=-\frac{22}{24}=-\frac{11}{12}[/tex]
????? HELP PLEASEEE!!
Which of them do I turn into a decimal, a fraction, or a mixed number?.
What is the error made
Answer:
see below
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/(x2-x1)
The person who tried to solve the problem did
Subtracted the x's over the y's instead of the y's over the x's
It should be (0-3)/(-4 -2)
-3/-6
x=3/5 y=1/3 z=2 4/5 work out z+x*y
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
z+x*y
Start by plugging the corresponding values in.
2 4/5 + 3/5*1/3
Multiply first. (Order of operations)
Note: When multiplying fractions, simply multiply the denominators together, and then the numerators together.
2 4/5 + 3/15
Simplify.
(I divided 3/15 by 3/3, which just equals 1.)
2 4/5 + 1/5
Add.
2 5/5
Simplify
3
These box plots show the basketball scores for two teams.
Bulldogs
55
70
80
90
105
Tigers
55 60 65
85
110
Basketball scores
Which statement is the most appropriate comparison of the spreads?
O A. The range for the Bulldogs, 20, is less than the range for the
Tigers, 25.
O B. The median for the Bulldogs, 80, is more than the median for the
Tigers, 65.
O C. The interquartile range (IQR) for the Bulldogs, 20, is less than the
IQR for the Tigers, 25.
D. The interquartile ranges (IQRs) for the Bulldogs and Tigers are
both 55.
Answer:
C. The interquartile range (IQR) for the Bulldogs, 20, is less than the
IQR for the Tigers, 25.
Step-by-step explanation:
When describing the spread of a given data set in a box plot using the five-number summary, the measure that is of utmost important is the range or the interquartile range.
The range is the difference between the max and the min.
The interquartile range is the difference between Q3 and Q1.
Therefore, considering the options given:
=>Option A is incorrect because the range for bull dog is 50 (105 - 55), while the range for Tigers is 55 (110 - 55).
=>Median cannot be used for describing spread, so option B is not the most appropriate comparison of the spreads.
=>Option C is correct and the most appropriate because the interquartile range of bulldogs is 20 (90 - 70), which is less than the IQR of Tigers which is 25 (85 - 60).
=>Option D is incorrect.
Answer:
C
Step-by-step explanation:
1,784 rounded to the nearest ten
Answer:
1,784=1,780
Step-by-step explanation:
because the tens column is 4,it is not greater than 5 but less than 5.due to this, the 1,784 becomes 1,780 because in this a number less than five will automatically become 0
The answer is 1,780
Mgghvcjgghcgjchkkcf gdhjvdh gang zgb ca gdgjxfh. KkHogg b
Which equation matches the graph of the greatest integer function given below, help please
What is the solution to this system of equations
Sorry, Please rewrite it again.