Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
=318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)
= $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
I wiol mark you brainliest!!! Use the substitution method to solve the system of equations.
Answer: b. (6,27)
Step-by-step explanation:
y=5x- 3 x=6<---- put in the equation
y=5(6)-3 <------- mulitply 5 and 6
y=30-3 <---- subtracted
y= 27. <---- y value.
Answer being (6,27)
Hope it helps :)
Do not guess plz math question
Answer:
-12
Step-by-step explanation:
[tex]7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12[/tex]
Hope this helps!
Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79
Answer:
ehhrr idk
Step-by-step explanation:
Answer:
Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't
Step-by-step explanation:
if your have 4096 cube
A) find the maximum dimensions of a cube u can make?
B) the big cube in a) is re-arrange into a cuboid which has a 4 cube height and a square base area, what is the maximum area of cuboid base
Answer:
a) [tex]\sqrt[3]{4096} = 16[/tex]
b) 4096/ 4 = 1024
Step-by-step explanation:
Plz help...it’s a math question and I suck at math would mean a lot to me thx <3
Answer:
Read below
Step-by-step explanation:
11. YX = 4.5
RQ corresponds to ZY. If RQ is 4 and ZY is 3, then ΔQRP was dilated by 0.75 to form ΔYZX. (3/4 = 0.75). Using this knowledge, we can find the length of YX by multiplying 6 by 0.75. (YX corresponds to QP). 6 × 0.75 = 4.5.
12. 55°
All of a triangle's angles must add up to 180°. ∠Q is 88°. ∠Z is 37°. ∠Z is congruent to ∠R because corresponding angles in similar triangles are congruent. So, 88° + 37° = 125°. We need to get to 180°, so 180° - 125° = 55°.
13. 4.2
BC corresponds to DF. We need to find the scale factor, so divide 2.7 by 3.6. That equals 0.75. AC corresponds to EF. EF is 5.6, so multiply 5.6 by 0.75. That equals 4.2.
I hope this helps :))
One sheet of paper is 9 x 10 to the power of -3 to cm thick. Mark wants to put 500 sheets of paper into the paper tray of his printer. The paper tray is 4 cm deep. Is the paper tray deep enough for 500 sheets of paper? You must explain your answer. Input note: write down the thickness of the 500 sheets of paper.
Answer:
The paper tray is not deep enough.
Step-by-step explanation:
500 * 9 * 10^-3
= 500 * 0.009
= 4.5 cm which is greater than the depth of the paper tray (4 cm).
The paper tray is not enough for sheets of paper.
The thickness of 500 sheets of paper is 45 cm.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
One sheet of paper is [tex]9[/tex] × [tex]10^{-3}[/tex] to the power of -3 to cm thick.
Mark wants to put 500 sheets of paper into the paper tray of his printer.
The thickness of 500 sheets of paper is
[tex]9[/tex] × [tex]10^{-3}[/tex] × 500 = 45 cm
But the paper tray is 4cm deep
45 cm > 4 cm
So the paper tray is not enough for sheets of paper.
Find out more information about multiplication here
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What is four times four need help
Answer:
16
Step-by-step explanation:
Answer:
16 times
Step-by-step explanation:
the four times four need help is just asking 4×4 which is 16
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c = child bike
a = adult bike
Child bike requirement:
4 hours build time
4 hours test time
Adult bike requirement:
6 hours build time
4 hours test time
Available Building time per week ≤ 120 hours
Available Testing time per week ≤ 100 hours
Therefore, company's work schedule is;
Building:
4c + 6a ≤ 120
Testing:
4c + 4a ≤ 100
Combined:
4c + 6a ≤ 120 and 4c + 4a ≤ 100
Building 20 Child bike and 6 adult bike in a week:
4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100
80 + 36 ≤ 120 - - - - 80 + 24 > 100
Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
What is the value of SZT?
Answer:
[tex] \boxed{m \angle SZT = 121 \degree } [/tex]
Given:
[tex]m \angle RZT = 137 \degree \\ m\angle RZS = 56 \degree [/tex]
Step-by-step explanation:
[tex]= > m \angle RZT = m\angle RZS + m \angle SZT \\ \\ = >157 \degree = 36 \degree+ m \angle SZT \\ \\ = > 157 \degree - 36 \degree = m \angle SZT \\ \\ = > 121 \degree = m \angle SZT \\ \\ = > m \angle SZT = 121 \degree [/tex]
we can describe 15x-10 as an expression we would describe 9+5=32 as an...
Answer:
equation
Step-by-step explanation:
Equations have equals signs, expressions do not
15x-10 is an expression
9+5 = 32 is an equation ( it is a wrong equation)
Linda made 5 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 5 necklaces was $18.50. If the beads cost $1.50 for each necklace, how much did each pendant cost?
1.50 for beads x 5 necklaces = 7.50
Total.
18.50 -7.50 = 11.00
11.00 / 5 = $2.20 for was pendant
*I WILL MARK YOU BRAINLIEST!!!!*
Answer:
A
Step-by-step explanation:
Hope it helped
Answer:Thr answer is A
Solve the system of equations. –6x + y = –21 2x − 1 3 y = 7 What is the solution to the system of equations? (3, 3) (2, –9) infinitely many solutions no solutions
Answer:
[tex]y = - 15 \\ x = - 94[/tex]
Step-by-step explanation:
it's not both of dem
The solution to the system of equations is x= −133/ 40 and y= −21/ 20
What is a system of equations?A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.
6x+ y= -21 is equation (1)
2x - 13y= 7 is equation (2)
Solve 6x+y=−21 for y:
6x+y=−21
6x+y+−6x=−21+−6x
y=−6x−21
Substitute −6x−21 for y in 2x−13y=7:
2x−13y=7
2x−13(−6x−21)=7
80x+273=7
Now Simplify both sides of the equation;
80x+273+−273=7+−273
Add -273 to both sides
80x=−266
x= −133/ 40
y=−6x−21
y=−6( −133 /40 )−21
y= −21/ 20
Hence x= −133/ 40 and y= −21/ 20
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Please help guys please
Answer: The answer is A
Step-by-step explanation:
An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan hears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75
Answer:
5.5 minutes
Step-by-step explanation:
Fill in the given information and solve for t.
75 = -15cos(2πt/15) +65
-10/15 = cos(2πt/15)
t = 15/(2π)arccos(-2/3) ≈ 5.492
The volume reaches 75 dB about 5.5 minutes after the truck arrives.
Find the number missing from the following equivalent fractions 20/35=4/?
The missing number is 7.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
There are 80 picnic tables at the park. During the first weekend of the summer, there were 40 available tables. During the second weekend of the summer, there were 20 available tables. During the third weekend of the summer, there were 10 available tables. Based on the pattern, how many picnic tables will be available during the fourth weekend of the summer?
will mark brainliest
Answer:
5
Step-by-step explanation:
We can see a pattern of 1/2 as the week progresses. 1/2 of 80 is 40, 1/2 of 40 is 20, 1/2 of 20 is 10, so for the fourth week 1/2 of 10 is 5.
Joey is at the pet store wanting to purchase a puppy. The cost of the puppy is $65. He will need to purchase supplies for his new puppy. The puppy food and training pads are the same price. If Joey spends $97 on this total purchase, how much would the puppy food and training pads cost? Explain your answer.
Answer:
97 - 65 = $32 for both the puppy food and training pads
32 / 2 = $16 for the puppy food and $16 for the training pads
Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. A graph titled Temperature Conversion has Degrees Fahrenheit on the x-axis and Degrees Celsius on the y-axis. The line goes through points (50, 10) and (64, 18). If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius? 5 degrees Celsius 10 degrees Celsius 15 degrees Celsius 20 degrees Celsius
Answer:
10 degrees Celsius
Step-by-step explanation:
Since the line goes through point (50, 10) and x represents Fahrenheit, y represents Celsius, then 50 F= 10 C
Answer:
10 degrees
Step-by-step explanation:
what is being constructed based on the markings in the following diagram???
Answer:
What diagram though?
'
Step-by-step explanation:
please help me I’m struggling :( , sorry about it being sideways.
Find the SURFACE AREA of this composite solid. Show work
Answer:
8
Step-by-step explanation:
4+4
6-6+8
Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18I) CD and EF are parallel lines.
AB is a straight line.
An angle of size 135 degrees is shown.
Write down the letter of one other angle of size 135 degrees given a reason for your answer on the same line.
ii) The size of angle p+q+r =
Algebra 2 can anyone help??
Answer:
Step-by-step explanation:
cot θ=-9.68
cotθ is negative
so θ lies in 2nd or 4th quadrant.
tan θ=-1/9.68
θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°
3.
sec θ=-9.13+5=-8.13
sec θ is negative so θ lies in 2nd or 3rd quadrant.
cos θ=(-1/8.13)
θ=cos^{-1}(-1/8.13)≈97.1°
What’s the sum of -30 and 29
Answer:
The answer of -1.
Step-by-step explanation:
You have to add both numbers together :
[tex] - 30 + 29 \\ = - 1[/tex]
[tex] - 30 + 29 \\ = - 1 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
2) Find the probability of rolling a 2 or smaller.
There are 6 numbers in one die.
There are 2 numbers that are less than or equal to 2, they are 1 and 2
The probability of something happening is the number of chances / total number
The probability would be 2/6, which can be reduced to 1/3
. The new saleswoman at Clocks Unlimited was very good. During her first day on the job she sold at least two of each of the three models that other salespeople found the most difficult to sell: the kitchen clock that sells for $17, the cuckoo clock that sells for $3 1, and the two-foot high grandfather clock that sells for $61. In all, she collected $300 from selling these models alone. How many $17 clocks did she sell? Justify your answer
Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:
[tex]a\geq 2\\b \geq 2\\c \geq 2[/tex]
In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
5 kitchen clocks3 cuckoo clocks 2 two-foot high grandfather clocksShe sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300
Commutative
Property
Answer: means you can switch up the numbers
Step-by-step explanation:
so Commutative Property means you can switch up
the numbers not the sign for example.
4 × 3 × x
4 × x × 3
3 × x × 4
x × 3 × 4
x × 4 × 3
if you look at all these! they just switch
this is easier like 4x5=20 in communicative property it would be 5x4=20
Hope this helps :)
Determine the number of solutions for the quadratic function f(x) = -x^2 + 3x - 9.
Answer:
0
Step-by-step explanation:
Rewrite the equation as x^2-3x+9=0
find the determinant.
D = b^2-4ac = (-3)^2-4*1*9 <0
no solution