Answer:
$3875 at 5%
$4125 at 13%
Step-by-step explanation:
Let x = amount invested at 5%.
Let y = amount invested at 13%.
x + y = 8000
0.05x + 0.13y = 730
Solve the first equation for x and sustitute into the second one to solve by the substitution method.
x = 8000 - y
0.05(8000 - y) + 0.13y = 730
400 - 0.05y + 0.13y = 730
0.08y = 330
y = 4125
x = 8000 - 4125
x = 3875
Answer:
$3875 at 5%
$4125 at 13%
i cant figure out how to do this please help
9514 1404 393
Answer:
∠BEC, ∠CED83°139°90°Step-by-step explanation:
When it comes to angles in a plane, the whole is the sum of the parts.
The little square in the corner of angle BED tells you that is a right angle, so has a measure of 90°. (This is the answer to part 4.) It also tells you that any ray between EB and ED will divide this angle into two complementary angles--angles that have a sum of 90°. There is only one such ray, EC, and it divides angle BED into angles BEC and CED.
1. Angles BEC and CED are adjacent complementary angles.
__
2. The parts of angle AEC are angles AEB and BEC. Angle AEC is the sum of those parts:
∠AEC = 49° +34° = 83°
__
3. Angle AED is the sum of angle AEB and right angle BED:
∠AED = 49° +90° = 139°
__
4. As we saw above, the marking on the figure tells you ...
∠BED = 90°
if f(x)=-4x-5 and g(x)=3-x, what is f(5)?
Answer:
f(5)=
[tex] = 4x - 5 \\ = 4 \times 5 - 5 \\ = 20 - 5 \\ = 15[/tex]
Help me please!!!!!✨✨✨✨✨✨✨✨✨✨
The area of a room is 65.25 meters squared. If its width is 8.7 meters, what is its length?
Answer:
28 / 4 = -7.v
Step-by-step explanation:
What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon
Answer:
you mean the midpoint: (-1, 23)
Convert 56∘F to ∘C.
Round to one decimal place and do not include units in your answer.
What formula are you using I'm using the one below so hopefully you're able to utilize this.
C = (F-32) ÷ 1.8
C = (56-32) ÷ 1.8
C = ( 24 ) ÷ 1.8
C = 13.3333333
Rounding one decimal place (tenths)
C = 13.3
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answer:
21 and 24
Step-by-step explanation:
21+24=45
Step-by-step explanation:
please mark me as brainlest
HELP LAST ATTEMPT !!!!!?
Answer:
180=34+4x+90
180=124+4x
4x=56
X=14
Andrea saves 65 each day.if this is 25% of hair daily allowance, how much is her daily allowance
25/100 = x/65
100x = 1625
x = $16.25
$16.25 is her daily allowance
A copy machine makes 32 copies per minute. How many copies does it make in 4 minutes and 15 seconds?
9514 1404 393
Answer:
136
Step-by-step explanation:
15 seconds is 1/4 minute. We can find the number of copies by multiplying the rate by time:
(32 copies/min)(4.25 min) = 136 copies
The machine can make 136 copies in 4 minutes 15 seconds.
2
Find the slope from the 2 points.
(-12,-9) and ( 18, 6)
-2
-1/2
2
1/2
Step-by-step explanation:
the slope of a line is the ratio y/x.
that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.
so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).
therefore, the slope is
15/30 = 1/2
3. Solve 1 < 3x – 2 < 13.
Answer:
1< x <5
Step-by-step explanation:
1<3x−2<13
1+2<3x−2+2<13+2 (Add 2 to all parts)
3<3x<15
33<3x3<153 (Divide all parts by 3)
1< x <5
Answer:
(1,5)
Step-by-step explanation:
100, 20,4, 0.8, ...
What is the formula for this geometric sequence
Answer:
divide by 5
Step-by-step explanation:
100/5 20 20/5 4 4/5 0.8 etc
simply each radical 1-4
Answer:
1. [tex]8x\sqrt{yz\\}[/tex] 2.[tex]8xy\sqrt{xz}[/tex] 3.[tex]4x^{2}yz\sqrt{y}[/tex] 4.[tex]7yz\sqrt{xz}[/tex]
Step-by-step explanation:
Find the length of AB to the nearest hundredth
Answer:
The required length of AB is 7.28 units.
Step-by-step explanation:
The basketball team scored 49 points in thechampionship game. This is 12 points more than
half of their score in the first round game. How many points did the team score in their first round game?
On five days of every week Jackie runs 2 1/2 miles in the morning how many total miles is Jackie run every week
Answer:
so I believe the question is just wanting you to do 5 times 2 1/2. I believe the answer would be 12 1/2. Your just adding 2 1/2, 5 times for each day she runs.
David invested $350 in an account paying an interest rate of 3 % compounded
continuously. Jack invested $350 in an account paying an interest rate of 3%
compounded quarterly. After 5 years, how much more money would David have in
his account than Jack, to the nearest dollar?
Answer:
$0 differenceStep-by-step explanation:
DavidPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number = continuousTime t = 5 yearsTotal in account after 5 years:
[tex]A=Pe^{rt}=350*e^{0.03*5} = 406.64[/tex]JackPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number n = 4Time t = 5 yearsTotal in account after 5 years:
[tex]A = P(1+r/n)^{nt}=350(1+0.03/4)^{4*5}=406.41[/tex]The difference in totals:
$406.64 - $406.41 = $0.23 ≈ $0 rounded to the nearest dollarAfter 5 years Jack will have $0.66 more money in his account than David.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For David, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.
Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75
Hence, after 5 years, David will have $405.75 in his bank account.
For Jack, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.
Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.
Hence, after 5 years, Jack will have $406.41 in his bank account.
Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.
Learn more about compound interest here: brainly.com/question/25857212
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please help me with this sum
Answer:
2880
1950
3960
2240
920
5220
4320
3760
6650
1080
32980 is the sum of all combined
Please allow me to know if this helped you by clicking thank you, rating or brainly!
Miss Hawaii
Answer:
1. 2880
2. 1950
3. 3960
4. 2240
5. 920
6. 5220
7. 5760
8. 3760
9. 6650
10. 1080
what is the square root of ten
Answer:
3.16227766017 is the answer
Answer: 3.16227766017
Step-by-step explanation:
Or you could round and get 3.2 or 3.16
Which ordered pairs is a solution to −5x + 3y > 12?
A. (3, 9)
B. (-5, 5)
C. (3, -6)
D. (-2, -5)
E. (2, 8)
F. (-6, 0)
The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
−5x + 3y > 12
a) (3, 9)
−5x + 3y > 12
-5(3) + 3 (9) > 12
-15 + 27 > 12
12>12
b) (-5, 5)
−5x + 3y > 12
-25 + 15 > 12
-10>12
c) (3, -6)
−5x + 3y > 12
-15 -18 > -12
-23> -12
d) (-2, -5)
−5x + 3y > 12
10 - 15 > 12
-5> 12
e) (2, 8)
−5x + 3y > 12
-10 + 24 > 12
14>12
f) (-6, 0)
−5x + 3y > 12
30 + 0 > 12
30>12
Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
Learn more about inequality here:
https://brainly.com/question/28823603
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3x+2=23
Please show steps on how to do.
Answer:
x = 7
Step-by-step explanation:
3x+2=23
Subtract 2 from each side
3x+2-2 = 23-2
3x = 21
Divide each side by 3
3x/3 = 21/3
x = 7
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 3x + 2 = 23
Then the value of x will be,
→ 3x + 2 = 23
→ 3x = 23 - 2
→ 3x = 21
→ x = 21 ÷ 3
→ [ x = 7 ]
Hence, the value of x is 7.
Given the diagram, complete the two-column proof and
solve for x.
Answer:
x=7
Step-by-step explanation:
11x+57=15x+29 [Alternate exterior angles]
57-29=15x-11x
28/4=x
7=x
Answer:
Nnnnnnnnnnnnnnn
7x =x
A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?
The answer is 7.25
Step-by-step explanation:
You need to just subtract thr toher numbers to get a differrnce. Then add up all of the differences so that you get thr correct answer.
Order from least to greatest. 5/12, 2/3, 1/2, 5/6, 3/4A) 3/4, 5/6, 2/3,1/2, 5/12B) 5/12, 1/2, 2/3, 3/4, 5/6C) 1/2, 2/3, 3/4, 5/6, 5/12D) 1/2, 2/3, 5/6, 3/4, 5/12
Answer:
B) 5/12, 1/2, 2/3, 3/4, 5/6
Step-by-step explanation:
You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.
2/3 = 8/12
1/2 = 6/12
5/6 = 10/12
3/4 = 9/12
Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)
What is the domain and range
Answer:
The domain is the travel on the x-axis of the graph and the range is the travel on the y-axis of the graph.
Step-by-step explanation:
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 2?
Write your answer as a fraction.
Can someone help me solve x?
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Answer:
x = 1
Step-by-step explanation:
The diagram is intended to show you that the whole is the sum of the part:
11 = (10x -1) +(2x)
11 = 12x -1 . . . . . . . collect terms
12 = 12x . . . . . . . . add 1 to both sides
1 = x . . . . . . . . . . . divide both sides by 12
The value of x is 1. The lengths of the segments are 9 and 2.
Hey ! Can anyone help me with this problem please thank you !!
Answer:
2
Step-by-step explanation:
7x + 3 = 8x + 1
2 = x
these are geometry problems.
PLEASE PLEASE HELP
Referring to the Fig. in Question #31, the spinner is divided
into equal parts. If you spin the spinner 100 times,
how many times do you expect it to stop on a number
less than 10?
Answer:
75 times
Step-by-step explanation: