Answer:
f(t) = 500 * (1.035) ^ t
Step-by-step explanation:
A = p(1 + r/n)^nt
Where
A = future value = ?
P = principal = $500
r = interest rate = 3.5% = 0.035
n = number of periods = 1
t = number of years = t
A = p(1 + r/n)^nt
= 500(1 + 0.035/1)^1*t
= 500(1 + 0.035) ^t
= 500( 1.035)^t
= 500 * (1.035)^t
f(t) = 500 * (1.035) ^ t
Please help!!! Thank you!
Answer:
<6, <4,
Step-by-step explanation:
Remote interior angles are interior angles of a triangle where they do not share a point with the exterior angle. So for <6, it's remote interior angles are <1 and <2, and for <4, it's remote interior angles are <3 and <2.
Hope this helps!
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
146
Step-by-step explanation:
20% of 80
percentage idk what to put
Answer:
if you are asking 20% of 80, then its 16
Step-by-step explanation:
0.2 x 80 = 16
Answer:
25
Step-by-step explanation:
25
Percentage Calculator: 20 is what percent of 80? = 25.
A grocery store recently sold several cans of soup.
32
split pea
black bean
minestrone
mm
vegetable beef 3
lentil
21
What is the experimental probability that the next can sold will be lentil soup?
Write your answer as a fraction or whole number.
P(lentil) =
Submit
don't know this
Answer:
21/60
Step-by-step explanation:
32 + 1 + 3 + 3 + 21 = 60
ans = 21/60
Answer:
Step-by-step explanation:
21/60
A banks loan officer writes applications for credit the ratings are normally distributed with a mean of 200 and a standard deviation of 50 fine P 60 the score which separates the lower 60% from the top 40% round to 1 Decimal Pl.
Answer:
212.7
Step-by-step explanation:
Calculation to Find P60 the score which separates the lower 60% from the top 40%
First step is to find z of 60% using the invNorm distribution
Hence,
z=0.6=0.2533
Now let Find P60 which is the score which separates the lower 60% from the top 40% using this formula
x<=>z
Where,
Standard deviation=50
Mean=200
z=0.2533
Let plug in the formula
x=0.2533*50+200
x=12.665+200
x=212.665
x=212.7(Approximately)
Therefore the score which separates the lower 60% from the top 40% is 212.7
Factor the expression (24p - 60)
This is the last one
Step-by-step explanation:
24p - 60
= 12 * 2p - 12 * 5
= 12(2p - 5).
In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 : 5 = ___ : 15 C) ___ : 1 = 12 : 3 D) 15 : ___ = 3 : 1
Answer:
A and B
Step-by-step explanation:
Given
List of given options
Required
Which will correctly take 3 to fill the blank
Represent the blanks with x
Option A:
[tex]x : 4 = 12 : 16[/tex]
Convert to fractions
[tex]\frac{x}{4} = \frac{12}{16}[/tex]
Multiply through by 4
[tex]4 * \frac{x}{4} = 4 * \frac{12}{16}[/tex]
[tex]x = \frac{48}{16}[/tex]
[tex]x = 3[/tex]
Option B:
[tex]1 : 5= x : 15[/tex]
Convert to fraction;
[tex]\frac{1}{5} = \frac{x}{15}[/tex]
Multiply through by 15
[tex]15 * \frac{1}{5} = \frac{x}{15} * 15[/tex]
[tex]15 * \frac{1}{5} = x[/tex]
[tex]3 = x[/tex]
[tex]x = 3[/tex]
Option C:
[tex]x : 1 = 12 : 3[/tex]
Convert to fraction
[tex]\frac{x}{1} = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Option D
[tex]15:x = 3:1[/tex]
Convert to fraction
[tex]\frac{15}{x} = \frac{3}{1}[/tex]
Cross Multiply
[tex]3 * x = 15 * 1[/tex]
[tex]3 * x = 15[/tex]
Divide through by 3
[tex]x = 5[/tex]
From the above calculations.
Option A and B can be filled with 3
2x+7y=3
X= -4y
X=?
Y=?
Answer:
x=12, y=-3
Step-by-step explanation:
Plug (-4y) in for x in the top equation. The equation will now read 2(-4y) + 7y = 3. Distribute the 2 into the perenthecies getting: -8y+7y=3. -8+7 is -1 giving -y+3. Divide by -1 making y = -3. Plug -3 back into the top equation and solve for x: 2x + 7(-3)=3. 2x-21=3. 2x=24. x=12.
What is the slope of a line perpendicular to the line whose equation is 6x-15y=270
Answer:
m= -2 1/2
Step-by-step explanation:
First, let's put the equation into slope intercept form.
6x-15y=270
-15y=-6x+270
y=6/15x+270
For two lines to be perpendicular, their slopes must be opposite reciprocals.
m=-15/6 or m= -2 1/2
Answer:
slope = - [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
6x - 15y = 270 ( subtract 6x from both sides )
- 15y = - 6x + 270 ( divide all terms by - 15 )
y = [tex]\frac{-6}{-15}[/tex] x - 18, that is
y = [tex]\frac{2}{5}[/tex] x - 18 ← in slope- intercept form
with slope m = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex]
Draw a graph that represents y=3x+2
Answer:
See drawing below.
Step-by-step explanation:
use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.
plot points
(-1, -1)
(0, 2)
(1, 5)
Please give thanks :)
SOMEONE PLEASE HELP ME I WILL GIVE BRAINLY
Answer:
answer is B
Step-by-step explanation:
Find mc when quadrilateral ABCD is a parallelogram.
Answer:
A
Step-by-step explanation:
The opposite angles in a parallelogram are congruent, thus
∠ C = ∠ A = 57°
The ratio of the number of red cards to the number of black cards in a deck is 3:10
2 more cards are added to the deck.
The ratio of red to black cards in the deck is now 1:3
How many black cards are in the deck?
Answer:
Then the black cards=12
Step-by-step explanation:
N of red=3
N of black=10
and we have ratio 3:10
think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3
⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3
⇒add 2 to black, the ratio will be 3:12 = 1:3
Then the black cards=12
hope this helps!
Answer:
Either
(1) there were originally 60 black cards, and 2 red cards were added, or
(2) there were originally 20 black cards, and 1 red card and 1 black card were added.
Step-by-step explanation:
The ratio of red cards to black cards is 3:10.
Since we don't know the actual numbers of red and black cards, we can write the ratio of red to black cards as
3k/10k
After adding 2 cards, the ratio of red cards to black cards becomes 1:3.
There are 3 ways of adding 2 cards: (A) both red, (B) 1 red and one black, (C) both black.
Possibility A: add two red cards
(3k + 2)/(10k) = 1/3
10k = 9k + 6
k = 6
3k/10k = 3(6) / 10(6) = 18/60
There were originally 60 black cards.
Possibility B: add 1 red card and 1 black card
(3k + 1)/(10k + 1) = 1/3
10k + 1 = 9k + 3
k = 2
3k/10k = 3(2) / 10(2) = 6/20
There were originally 20 black cards.
Possibility C: add two black cards.
(3k)/(10k + 2) = 1/3
10k + 2 = 9k
k = -2
3k/10k = 3(-2) / 10(-2) = -6 / -20
We cannot have a negative number of cards.
No solution.
Answer: Either there were originally 60 black cards, and 2 red cards were added, or there were originally 20 black cards, and 1 red card and 1 black card were added.
Use polynomial identities to factor 64 + 27a^3
Answer:
(3a+4)(9a^2-12a+16)
Step-by-step explanation:
It's a perfect square :)
The factors of the given polynomial are (4+3a)(9a²-12a+16)
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.
Given that, a polynomial, 64+27a³
Using identity : a³+b³ = (a+b)(a²-ab+b²)
We get,
= (4+3b)(4²-4x3a+(3a)²)
= (4+3a)(16-12a+9a²)
Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)
For more references on polynomials, click;
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I need help with this proof!
Answer:
Line segment BD is congruent to line segment DC because they are divided by a bisector, which tells you that a bisector is present when both sides of the shape are congruent.
Step-by-step explanation:
write (3x^2 + 2x − 8) + (x^2 − 5x + 10) in standard form. Show your work
Answer:
4x^2-3x+2
Step-by-step explanation:
Answer:
4x^2 - 3x + 2
Step-by-step explanation:
(3x^2 + 2x - 8) + (x^2 - 5x + 10)
(3x^2) + (x^2) = 4x^2
(2x) + (-5x) = -3x
(-8) + (10) = 2
4x^2 - 3x - 2
Round the number to the nearest hundredth 3.99527
Answer:
nnnnnnnn
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Which table represents a linear function?
Answer:
the bottom table (1,-5)
Step-by-step explanation:
the equation is y=5x-10
the equation has no multiple powers involved like cubed or squared
Please help help help help help
Answer:
61.25%
Step-by-step explanation:
percent = part/whole * 100%
percent = 98/160 * 100%
percent = 0.6125 * 100%
percent = 61.25%
Answer: 61.25%
Answer:
61%
Step-by-step explanation:
To find the percent, divide 98 by 160
98÷160=0.6125
move the decimal of 2 spaces then round to the nearest hundredth
Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculate r, the average speed at which Yusef drove?
A.
r=130−2.5
B.
130=r2.5
C.
r=1302.5
D.
130=r+2.5
PLEASE HELP! ITS FOR A TEST!!
Answer:
B
Step-by-step explanation:
It's B my guy
Answer:
B.)
Step-by-step explanation:
r= 130/2.5
130=r2.5
it would be 52 because you have to divide.... so you would divide 130 by 2.5 and then you would get 52. hope this helps.
What else would need to be congruent to show that ABC PQR by SSS?
Given
———-
AC=PR
BC=QR
A. AB=BA
B. AB=PQ
C. AC=PQ
D. A=P
A n s w e r :
B. AB = PQ
The condition which satisfy the congruency of the given triangle is
BC≈QR.
What is congruency of triangles?Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'
here, we have,
from the given information, we get,
To show that triangle ABC ≈ triangle PQR by SSS,
In this type of congruency, all the sides of the triangle ABC is equivalent to the all the sides of the triangle PQR.
Given, AC≅PR, AB≅PQ.
The another one condition is BC≅QR.
Hence, the condition which satisfy the congruency of the given triangle is BC≈QR.
Learn more about congruency of triangles here:
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1 1/3 TIMES 2 3/4 =
ANSWER ASAPPPP
EXPLAIN STEP BY STEP
Answer:
1/2
Step-by-step explanation:
Calculator :)
write a linear function f with the values f(-2)=8 and f(1)=-10
Answer:
The linear function f(x) = -6x - 4
Step-by-step explanation:
The equation of the linear function f(x) is y = m x + b, where
y = f(x)m is the slope of the line represents the functionb is the y-intercept ⇒ value y at x = 0The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)
∴ f(-2) = 8 is the point (-2, 8)
∴ f(1) = -10 is the point (1, -10)
∴ x1 = -2 and y1 = 8
∴ x2 = 1 and y2 = -10
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-10-8}{1--2}[/tex] = [tex]\frac{-18}{1+2}[/tex] = [tex]\frac{-18}{3}[/tex]
∴ m = -6
→ Substitute it in the form of the equation above
∵ y = -6(x) + b
∴ y = -6x + b
→ To find b substitute x by 1 and y by -10
∵ x = 1, y = -10
∴ -10 = -6(1) + b
∴ -10 = -6 + b
→ Add 6 to both sides
∵ -10 + 6 = -6 + 6 + b
∴ -4 = b
∴ b = -4
→ Substitute it in the equation
∴ y = -6x + -4
∴ y = -6x - 4
∵ y = f(x)
∴ The linear function f(x) = -6x - 4
Simplify and solve the equation 1/3x+3=4
Answer:
X = 1/3
Step-by-step explanation:
Multiply all terms by x and cancel:
1
3
+3x=4x
3x+
1
3
=4x(Simplify both sides of the equation)
3x+
1
3
−4x=4x−4x(Subtract 4x from both sides)
−x+
1
3
=0
−x+
1
3
−
1
3
=0−
1
3
(Subtract 1/3 from both sides)
−x=
−1
3
−x
−1
=
−1
3
−1
(Divide both sides by -1)
x = 1 /3
Check answers. (Plug them in to make sure they work.)
x = 1 /3
(Works in original equation)
Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1 Quadrant II Quadrant II Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)
Answer:
(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think
HELPPPP!!!!!!
1) Consider the sequence:
7,4, 1, -2
A) Arithmetic or Geometric (and why?)
B) What is the common difference or common ratio?
C) Explicit equation:
D) Find the 12th term of the sequence:
Evaluate
|15 - 23 | =
Answer:
8
Step-by-step explanation:
[tex] |15 - 23| = | - 8| = 8[/tex]
what is Alternate interior angles give an example
Hey there!
Basically, the alternate interior angles is/are the inside of the given lines but it’s unlikeable sides of your transversal
Basically, ∠1 & ∠2 are alternative interior angles
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
in the above pic you can see 12345678 marked angles
the alternate interior angles are angle3,5,4and6
they are pairs of alternat interior angles
Step-by-step explanation:
I hope it helps mate
i will always help you understanding your assingments
have a great day
#Captainpower#
Please help. This is volume
Answer:
3600 in
Step-by-step explanation:
12 * 15 = 180
180 * 20 = 3600
Then just add the right unit
3600 in
(arb)4 = 81r24
where a and b are positive integers. Work out a and b.
Step-by-step explanation:
(arb)4 = 81r24
a4r4b = 81r24
a4 = 81
a = 4√81
a = 3
r4b = r24
4b = 24
b = 6
any more help just ask :)