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
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
;)
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]
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
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
9.75 divided by 5 equals
Answer:
1.95
Step-by-step explanation:
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.
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.
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
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!!
HELPPPPPPPPPP!!!!!!!!
what is the answer to the question?
"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
1. What is the solutionto the system of equations?
Answer:
(1, -3)
Step-by-step explanation:
The solution is the intersecting point
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
Which is the coefficient in the expression 24x + 3?
a. x
b. 3
c. 24
d. 24x
Answer:
C. 24
Step-by-step explanation:
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:
Pls answer need help asap!!
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
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 1/7Which 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.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:)
What 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
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.
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
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 - 32Solve 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 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:
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
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:
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: