Answer:
7.4 years
Step-by-step explanation:
This is a compound interest question, from the question, we know we are to find the time.
The formula for Time in compound interest =
t = ln(A/P) / n[ln(1 + r/n)]
Where:
A = Amount after time t = $4,020
P = Principle = Initial amount invested = $2700
r = Interest rate = 5.4% = 0.054
t = ??
n = compounding frequency = monthly = 12
t = ln(A/P) / n[ln(1 + r/n)]
t = In(4020/2700)/12[In(1 + 0.054/12)]
t = 7.388 years
Approximately = 7.4 years
A car company builds two versions of one of its models-a sedan and a station wagon. The ratio of sedans to station wagons is 11:2. A freighter begins unloading the cars at a dock. Tom
counts 18 station wagons and then overhears a dock worker call out, "Okay, that's all of the wagons ... bring out the sedans!" How many sedans were on the ship? Write the number only.
Answer:
Number of sedans on the ship = 99
Step-by-step explanation:
Given that:
Ratio of sedans to station wagons = 11 : 2
Number of station wagons count by Tom = 18
Number of sedans = x
Ratio of sedans to station wagons = x : 18
The relationship is directly proportional;
11 : 2 :: x : 18
Product of mean = Product of extreme
2x = 11*18
2x = 198
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{198}{2}\\x=99[/tex]
Hence,
Number of sedans on the ship = 99
Solve the following system by the comparison method.
2p + q = 1
9p + 3q + 3 = 0
What is the solution set?
{(-2, -5)}
{(2, -5)}
{(-2, 5)}
Answer:
3p=1
p=1/3
9p+3p+3=0
12p+3=0
12p=3
p=3/12
p=4
How can you get the variable alone in the
equation 25?
5
a
Answer:
5
Step-by-step explanation:
5x5=25
or
5xa=25
a=5
Answer:
a=5
Step-by-step explanation:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number.
[tex]\frac{5a}{5} =\frac{25}{5}[/tex]
a=5
What is 54-36÷9+14=n what is the value in n?
Answer:
64
Step-by-step explanation:
1st step: 36/9 = 4
54 - 4 + 14 (since all operations are addition and subtraction, just work left to right)
50 + 14 = 64
IF YOU GOOD AT MATH PLZ HELP!!! Algebra II
Answer:???
Answer:
sorry di ko alam
Step-by-step explanation:
Answer:
A , C , D
Step-by-step explanation:
Mark as Brainliest.
Because I am Indian and solving your question from India.
Find the value of q such that qx^2 -5qx-3 divided by x +2 has a remainder of 4.
Answer:
Step-by-step explanation:
(qx^2-5qx-3)÷(x+2) gives remainder 14q-3
Equating remanders 14q-3=4
14q=7
q=1/2
The number of students who ordered a medium T-shirt was two less than
the number of students who ordered a large T-shirt. Write a system of linear
equations that represents the number of students who ordered medium and
large T-shirts
Answer:
Y= x + x-2
Step-by-step explanation:
X represents large tshirts
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, –8); m = –5
Answer:
y+8=-5(x-3)
Step-by-step explanation:
The formula for point-slope form is y-y1=m(x-x1)
The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.
So, start by writing your equation like this: y--8=m(x-3)
For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).
We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)
And there you have it!! The equation is now in point-slope form!!
y+8=-5(x-3) is the final answer!!
Hope that helps you!! Please give me brainliest!!
convert to slope intercept form y-3=5(x-7)
Answer:
y = 5x - 32
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Equality Properties
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Point-Slope Form] y - 3 = 5(x - 7)
Step 2: Rewrite
Distribute 5: y - 3 = 5x - 35Isolate y: y = 5x - 32What is the mean average of these five numbers 2, 4, 5, 6, 8
Answer:
5
Step-by-step explanation:
The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.
Mean = Sum / Count
Mean = (2+4+5+6+8) / 5
Mean = 25 / 5
Mean = 5
The average mean of the given data will be "5". A further solution is provided below.
The given data is:
→ [tex]2,4,5,6,8[/tex]
Total number of data value,
= 5
The mean will be:
= [tex]\frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ values}[/tex]
By substituting the given values, we get
= [tex]\frac{2+4+5+6+8}{5}[/tex]
= [tex]\frac{25}{5}[/tex]
= [tex]5[/tex]
Thus the above is the correct answer.
Learn more about mean here:
https://brainly.com/question/21179980
Pls Helppp ASAP I will give brainliest to best answer!! 100 points if you help!!!
An arithmetic sequence has 8 terms total 1st number is -22 and 8th (last) number is 5 there are 6 missing terms in between, what are they? Please help me!! I need this!!
Answer:
- 127/7 or - 18 1/7- 100/7 or - 14 2/7-73/7 or -10 3/7-46/7 or - 6 4/7-19/7 or - 2 5/78/7 or 1 1/7Step-by-step explanation:
Given AP with the first term of -22 and eighth term of 5To find the missing termsSolutionAP formula:
aₙ = a₁+(n-1)dUsing the given points we find the common difference:
a₁ = -22 and a₈ = 5
a₈ = a₁ + 7d5 = -22 + 7d7d = 5 + 227d = 27d = 27/7Now the missing terms:
a₂ = -22 + 27/7 = - 127/7 or - 18 1/7a₃ = -22 + 2(27/7) = - 100/7 or - 14 2/7a₄ = -22 + 3(27/7) = -73/7 or -10 3/7a₅ = -22 + 4(27/7) = -46/7 or - 6 4/7a₆ = -22 + 5(27/7) = -19/7 or - 2 5/7a₇ = -22 + 6(27/7) = 8/7 or 1 1/7"During the winter snow season, the Snowy Mountain Coffee Spot sells hot chocolate for 47 cents. If Katrina paid for a cup of hot chocolate with exactly five coins (quarters, nickels, dimes, or pennies). Which five coins did she use?"
Answer:
4 dimes an 7 pennies
Step-by-step explanation:
it should be easy
HELP!!! 48 pts. Solve: 2|x - 3| - 4 ≥ 10 x ≥ -10 or x ≤ -4 x ≥ 10 or x ≤ 4 x ≥ 10 or x ≤ -4 x ≥ -10 and x ≤ 4
Answer:
8x^2 = 5
x^2 = 5/8
x = sqrt(5/8)
x = sqrt(40)/8
x = 4(sqrt 10)/8
x = + sqrt 10/2
Step-by-step explanation:
1. What is the solutionto the system of equations?
Answer:
(1, -3)
Step-by-step explanation:
The solution is the intersecting point
Simplify: - 7 + 17 - 7
A. 31
B. - 17
C. -3
D. 17
The correct answer should 3, but there's no option!
Hey there!
“Simplify: –7 + 17 – 7”
“A. 31”
“B. –17”
“C. –3”
“D.17”
–7 + 17 – 7 =
–7 + 17 = 10
10 – 7 = 3
Your answer SHOULD be: 3 ☑️
(Closest to your answer would be: Option C. –3)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
HELPPPPPPPPPP!!!!!!!!
will give points 10 points
Answer: sorry bro don't know
Step-by-step explanation I'm sorry I don't know
Answer:
(1/2) ( 5 - 7x) = 8 - 4x - 6
(1/2) (5 - 7x) = 2 - 4x multipy through by 2
5 - 7x = 4 - 8x add 8x to both sides.......subtract 5 from both sides
x = -1
Step-by-step explanation:
hope I helped more than him
You paint of a wall in hour. At that rate, how long will it take you to paint one wall?
Answer:
an hour....
Step-by-step explanation:
Which is the coefficient in the expression 24x + 3?
a. x
b. 3
c. 24
d. 24x
Answer:
C. 24
Step-by-step explanation:
What are the two variations of the Pythagorean theorem to use? (short and long side)
Step-by-step explanation:
the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs.
An aquarium has a total of 24 freshwater creatures in it. There are 9 angelfish, 6 koi, 4 snails, 3 mini crabs, and 2 frogs. Write a ratio to represent the number of snails to the number of all creatures. Simplify if possible, but keep as a fraction.
please hurry!
9 + 6 + 3 + 2 = 20
4:20
1:5 ratio of snails to other creatures
Answer:
3/1 or 3:
Step-by-step explanation:
Im that guy pal
QUESTION SHOWN ON PHOTO :)
Answer:
A: -1/3x
Step-by-step explanation:
We can convert -1/3 to -2/6 by multiplying -1/3 by 2/2. As we know, 5-2 is 3. That makes 3/6. 3/6 is equivalent to 1/2. That means it has to be A.
factor the expression
by filling in the blank
Answer:
After factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
Step-by-step explanation:
The expression given is:
[tex]8q^6r^3+27s^6t^3[/tex]
We need to factor the expression using the formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
Given the expression:
we have
[tex]a = 2q^2r\\b= 3s^2t[/tex]
Now applying the formula:[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
[tex](2q^2r)^3+(3s^2t)^3\\=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]
So, after factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
Please help I need to get this done please help me
Answer:
4
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis.
At (0,4), you can see the purple line cross the y-axis, therefore it is the y-intercept.
Answer:
3/4
Step-by-step explanation:
Sam is 27 years old his age is 6 yeard greater than 3 times Brandons age whixh method can be used to determine brandons age
Answer:
Brandon is 7 years old
Step-by-step explanation:
(27 - 6) / 3 = 7
27 = Sam's age
6 = years greater compared to/than means subtraction
3 = times greater compared to/than means divion.
27 - 6 is in parentheses because it must be done first.
Please give brainlyest
Have a nice day
;)
what is the answer to the question?
Pls answer need help asap!!
Which conic section does the equation below describe?
x^2+y^2- 8x+ 10y+15 = 0
O A. Hyperbola
O B. Parabola
OC. Circle
OD. Elipse
[tex]\large\boxed{\boxed{\pink {\bf \leadsto The \ equation \ represents \ a \ circle. }}}[/tex]
Step-by-step explanation:Given equation to us is ,
[tex]\green{\implies x^2 + y^2 - 8x + 10y + 15 = 0 }[/tex]
And we need to find which conic section does the equation below describe . So for that let's simpify the Equation .
[tex]\implies x^2 + y^2 - 8x + 10y + 15 = 0 \\\\\implies x^2 - 8x + y^2 + 10y = (-15) \\\\ \implies x^2 -8x + 4^2 - 4^2 + y^2 + 10y + 5^2-5^2 + 15 = 0\\\\ \implies (x -4)^2 + (y+5)^2 - 16 - 25 + 15 = 0 \\\\ \implies (x -4)^2 + (y+5)^2 - 26 = 0 \\\\\implies (x-4)^2 + (y+5)^2 = 26 \\\\\implies (x-4)^2+(y+5)^2=(\sqrt26)^2 [/tex]
And this is similar to the standard equation for a circle is ( x - h )² + ( y - k )²= r² , where ( h, k ) is the center and r is the radius.
Hence the given equation represents a circle with center ( 4 , -5) and radius √26 units.how do you figure this out? Fill in the missing amounts (do not use commas or decimal points).
July Aug. Sept. Oct. Nov. Dec.
Receipts $700 $650 $800 $960 $895 $925
Expenses $680 $650 $710 $795 A. $850
Net Cash Flow B. $0 C. $165 $105 D.
Cumulative Balance $20 E. $110 F. $380 $455
$
Answer:
A. 790 B. 20 C. 90 D. 75 E. 20 F. 275
Step-by-step explanation:
9.75 divided by 5 equals
Answer:
1.95
Step-by-step explanation: