Answer: $2,466.45
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3.5/100= 0.035)
n= number of compounding periods in each year (365)
Replacing with the values given
3,500= P (1+ 0.035/365)^365(10)
Solving for P
3,500= P (1.00009589)^3650
3,500/ (1.00009589)^3650 =P
P = $2,466.45
Write and solve an equation for .
Answer:
[tex]x = 40 \: \: degrees[/tex]
Step-by-step explanation:
[tex]3x + 20 + x = 180 \\ 4x + 20 = 180 \\ 4x = 180 - 20 \\ 4x = 160 \\ \frac{4x}{4} = \frac{160}{4} \\ x = 40 \: \: degrees[/tex]
find the square of 2m^2 - 2/3n^2
Answer:
4m^4 - 8/3m^2 n^2 + 4/9n^4
Step-by-step explanation:
(2m^2 - 2/3n^2)(2m^2 - 2/3n^2)
= 2m^2(2m^2 - 2/3n^2) - 2/3n^2(2m^2 - 2/3n^2)
= 4m^4 - 4/3m^2 n^2 - 4/3m^2n^2 + 4/9n^4
= 4m^4 - 8/3m^2 n^2 + 4/9n^4
What is the slope-intercept equation of the line below?
Answer:
The slope-intercept form:
[tex]y = -3x +4[/tex]
Step-by-step explanation:
-To get the slope-intercept equation, you first need to find the slope by using this equation [tex]m = \frac{rise}{run}[/tex] (starting counting from the first point, to the second point) in order to get the slope. After you have the slope, you need to find the y-intercept ( y-intercept is where the line crosses the y axis of the graph, basically). So, to find that, you need look for the point that only crosses the y axis to get the y-intercept. After you have both the slope and y-intercept, you put it in slope-intercept form:
The two points I found from the following graph are:
[tex]( 1, 1)[/tex] and [tex](2, -2)[/tex]
Trick: Since the line of the graph shows that it is down (not up), Start counting down from point [tex]( 1, 1)[/tex] to point [tex](2, -2)[/tex]. Then, find the y-intercept:
[tex]m = \frac{-3}{1} = -3[/tex]
[tex]b = 4[/tex]
Use it to create a slope-intercept form:
[tex]y = mx +b[/tex] (where [tex]m[/tex] represents the slope and [tex]b[/tex] represents the y-intercept)
[tex]y = -3x +4[/tex]
So, therefore the slope-intercept form is [tex]y = -3x +4[/tex] .
A card is randomly selected from a standard deck. What is the probability that a club or the queen of hearts is selected?
Answer:1/52 One out of 52 (there are 52 cards in a deck, right?)
Step-by-step explanation:
PLEASE HELP IF WRONG WILL REPORT!
What is the measure of the unknown angle?
A. 145°
B.148°
C. 150°
D. 151°
Answer:
D
Step-by-step explanation:
Because the angle with measure 29 degrees and n are a linear pair, their value must add up to 180 degrees. Therefore:
n+29=180
n=180-29
n=151 degrees, or answer choice D
Hope this helps!
Grandma’s chocolate chip cookies calls for 2 cups of flour for 24 cookies. Using the same rate, how many cups of flour is needed if grandma wants to make 36 cookies?
Answer:
C
Step-by-step explanation:
Took the test
Answer:
Grandma needs 3 cups to make 36 cookies
Step-by-step explanation:
If 2 cups is 24 cookies then 1 cup must be 12.
12+24=36 therefore she needs 3 cups to make 36 cookies.
Question
Statistical
Not
statistical
How much does a movie ticket cost at each theater in New York
City?
How many movie theaters are in New York City?
What movie theater in town has the least expensive popcorn?
Answer:
A=statististical
B=non statistical
C=non statistical
Step-by-step explanation:
i did the test and i got it all right, hope this help you!<3
Do these side lengths make a right triangle? 5, 12, 13
Answer:
This is a right triangle
Step-by-step explanation:
We will use the Pythagorean theorem
a^2 + b^2 = c^2
If this is true it is a right triangle
5^2 + 12^2 = 13^2
25+144 = 169
169 =169
This is true so this is a right triangle
the number of sides of a regular polygon whose interior angle is 140
Answer:
9 sides
Step-by-step explanation:
Two methods and the same answer = 9 sides
Method 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Method 2: Since the exterior angle 140 degrees, The sum of the interior angles = (2n - 4)* right angles. So 140n =(2n - 4)* right angles, or
140n =(2n - 4)*90, or
140n = 180n - 360, or
40n = 360, or
n = 9 sides.
Hence the number of sides is 9 sides.
Answer:
9
Step-by-step explanation:
The sum of the interior angle and the exterior angle = 180°
Thus the exterior angle of the polygon = 180° - 140° = 40°
The sum of the exterior angles of a polygon = 360°, thus
number of sides = 360° ÷ 40° = 9
a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the external segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?
Answer:
Correct option: (3) 45
Step-by-step explanation:
Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.
If we have a secant and a tangent to a circle, we can use the following property:
T^2 = E * (A + E)
If the tangent is 14 inches and the external segment is 4 inches, we have that:
14^2 = 4 * (A + 4)
196 = 4A + 16
4A = 180
A = 45
Correct option: (3)
Caitlin says that the point
(10, 2) on the graph below means that 2 hats cost $10.00. Is Caitlin correct?
Answer:
yes
Step-by-step explanation:
A farmer is tilling a rectangular field that is 65 meters long and 72 meters wide. What is the distance between opposite corners of the farmer's field
Answer:
97m
Step-by-step explanation:
From the image below we solve using pythagoras's theorem
x^2 = 72^2 + 65^2
x^2 = 5184 + 4225
x^2 = 9408
x = 97 m.
Further explanation is shown 8n the image.
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
Answer:
2 by 8
I hope this helps you
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by LaTeX: h=-4.9t^2+12h = − 4.9 t 2 + 12, where t is seconds. After how many seconds will Logan hit the water?
Answer:
Time, t = 2.44 seconds
Step-by-step explanation:
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :
[tex]h=-4.9t^2+12t[/tex]
It is required to find the time after which Logan will hit the ground. At this point, h = 0
[tex]-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s[/tex]
So, after 2.44 seconds it will hit the water.
An is made up of two expressions that are equal in value to each other
Answer:
an what ? this question is a bit confusing to me or im jus not having one of my smart days ..
Step-by-step explanation:
which classification best represents a triangle with a side lengths 6 cm,10 cm, and 12 cm ?
Answer:
It would be an obtuse scalene triangle.
EDITED TO ADD:
When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
1) Square all 3 sides.
2) Sum the squares of the 2 shortest sides.
3) Compare this sum to the square of the 3rd side.
if sum > 3rd side² Acute Triangle
if sum = 3rd side² Right Triangle
if sum < 3rd side² Obtuse Triangle
6^2 = 36
10^2 = 100
12^2=144
36 + 100 = 136 and this is less than 144 so it is an obtuse triangle.
Step-by-step explanation:
What are the measurements rounded to the nearest hundredth.
Answer:
Step-by-step explanation:
What is the area of the triangle?
Answer:
The area is 4
Step-by-step explanation:
A=1/2 x b x h
A=1/2 x 4 x 2
A= 4 x 1
A= 4
WORTH 45 POINTS AND BRAINLIST NO FAKE ANSWERS AND PLAGIARIZING
Ms. Ziolkowski asks her class to write the correct trigonometric function for the triangle shown below.
Two students get into an argument about the correct answer.
Rhianna states that the correct trig function is tan A = 3/4. Christopher insists that the correct trig function is tan C = 4/3. Who is correct? In writing your response, be sure to include the terms opposite side, adjacent side, tangent ratio, and reference angle. Be sure to restate the question and explain your position with at least four sentences.
Answer:
They are both correct
Step-by-step explanation:
tan A = opposite / adjacent = 3/4 >>> A= 36.9 deg
tan C = opposite / adjacent = 4/3 >>> C= 53.1 deg
cheak:
<B+ <A + <C = 180 deg
90 + 36.9 + 53.1 = 180
180 = 180
Answer:
Botn are correct
Step-by-step explanation:
Tan ratio can be obtained by opposite/adjacent
Both students are correct. They have different values only because they have taken different reference angles
Rhianna has taken angle A as the reference angle,
So tanA = opposite/adjacent = BC/AB
tanA = 3/4
Christopher has taken angle C as the reference angle,
So tanC = opposite/adjacent = AB/BC
tanC = 4/3
In April, Phillipa rode 13 . 5 + 8 . 7 + 11 . 1 miles on her bicycle. In March, she rode ( 13 . 5 + 8 . 7 + 11 . 1 ) ÷ 2 miles, and in May, she rode 4 × ( 13 . 5 + 8 . 7 + 11 . 1 ) miles. Determine the month when she rode the most and the month when she rode the least. How many times farther did she ride in the month when she rode the most than in the month when she rode the least?
Answer:
Phillipa rode the most in May and rode the least in March.
Distance travelled by Phillipa on her cycle in May = 8 × Distance travelled by Phillipa on her cycle in March
Step-by-step explanation:
Given:
In April, Phillipa rode 13 . 5 + 8 . 7 + 11 . 1 miles on her bicycle. In March, she rode ( 13 . 5 + 8 . 7 + 11 . 1 ) ÷ 2 miles, and in May, she rode 4 × ( 13 . 5 + 8 . 7 + 11 . 1 ) miles.
To find: the month when she rode the most and the month when she rode the least
Solution:
Distance travelled by Phillipa on her cycle in April = 13 . 5 + 8 . 7 + 11 . 1 = 65 + 56 + 11 = 132 miles
Distance travelled by Phillipa on her cycle in March = ( 13 . 5 + 8 . 7 + 11 . 1 ) ÷ 2 = [tex]\frac{132}{2}=66[/tex] miles
Distance travelled by Phillipa on her cycle in May = 4 × ( 13 . 5 + 8 . 7 + 11 . 1 ) = 4 × 132 = 528 miles
So, she rode the most in May and rode the least in March
Distance travelled by Phillipa on her cycle in May = 8 × Distance travelled by Phillipa on her cycle in March
Find the value of the expression
5
×
7
−
4
×
4
.
A.
−
45
B.
19
C.
60
D.
124
Answer:
19
Step-by-step explanation:
5*7 - 4*4
PEMDAS says multiply and divide first
35 - 16
Then add and subtract
19
Answer:
19 hope this helps ☜(⌒▽⌒)☞☜(ﾟヮﾟ☜)
Step-by-step explanation:
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers? x y 12 60 15 75 36 calories 108 calories 720 calories 900 calories
Answer:
900 calories
Step-by-step explanation:
each cracker has 5 calories so you would times 5 by 180 which gets you 900
Answer:
option D
Step-by-step explanation:
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers? x y 12 60 15 75 36 calories 108 calories 720 calories 900 calories
Can u please solve this question ???
Please solve this as fast as you can
Mia the scientist is tracking daily temperature changes for study on parakeet migration she records 10° in the morning and 50° in the evening what is the total temperature change for that day
Answer:
The answer is 40 degrees.
Step-by-step explanation:
If the temperature she recorded in the morning is 10 degrees and 50 degrees in the evening then the total temperature change during the day from morning to evening is an increase of 40 degrees.
I hope this answer helps.
In a recent survey about what food was your favorite take-out, it was determined that 40% of students
preferred pizza, 32% of students preferred cheeseburgers, and 28% of students preferred tacos. Based of
this data, how many students out of 1,800 chose cheeseburgers?
Answer:
576
Step-by-step explanation:
Answer:
576 chose cheese burgers
Step-by-step explanation:
Take the total amount of students and multiply by the percent that chose cheeseburgers
1800*32%
Change to decimal form
1800*.32
576
576 chose cheese burgers
Pleaseeeeee helpppppppp i will mark brainlest
Answer:
b
Step-by-step explanation:
The sum of angles in a triangle is 180°. Therefore,
x - 11 + 48 + 90 = 180
x + 127 = 180
x = 53°
Answer:
x = 53
Step-by-step explanation:
Using the information that angles in a triangle add up to 180°, we can set up and equation to find the value of x
⇒ Use the information that angles in a triangle add up to 180°, form an equation
→ x - 11 + 48 + 90 = 180
⇒ Simplify
→ x + 127 = 180
⇒ Minus 127 from both sides to isolate x
→ x = 53
We can substitute the value of x back into x - 11 + 48 + 90 = 180 to see if our value of x is correct, if we end up on 180 on both sides then the value of x is correct
→ x - 11 + 48 + 90 = 180
⇒ Substitute in the value of x
→ 53 - 11 + 48 + 90 = 180
⇒ Simplify
→ 180 = 180
This means that x = 53 is correct
what is the slope for (6,2) (9,8)
Answer:
3/6
Step-by-step explanation:
The slope is how one number gets to the next, in this instance we have point (6,2) at x=6 y=2 to get from there to the next point x=9 y=8 we would have to count up three and over six. Therefore, the answer is 3/6.
Hope this helps!
What is the volume of the cylinder below? Use 3.14 for pi and I round to the nearest tenth
Answer:
Option (4).
Step-by-step explanation:
Formula to calculate the volume of a cylinder is,
V = πr²h
Here r = radius of the cylinder
h = Height of the cylinder
From the figure attached,
r = [tex]\frac{13}{2}=6.5[/tex] cm
h = 11 cm
Now we substitute the values of h and r in the formula,
V = π(6.5)²(11)
= 464.75π
= 1459.32
≈ 1459.3 cm³
Therefore, volume of the given cylinder is 1459.3 cm³
Option (4) will be the answer.
Dr. Hester is mailing a package at the post office. The package is 4.75 pounds. The post office charges by the ounce to mail a package. How many ounces does the package weigh?
Answer:
The package weighs 76 ounces.
Step-by-step explanation:
This question can be solved using a rule of three.
Each pound has 16 ounces. How many ounces are 4.75 pounds?
1 pound - 16 ounces
4.75 pounds - x ounces
x = 16*4.75
x = 76
The package weighs 76 ounces.
Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
f(x) = -4x – 7
g(x) = x² + 7x – 2
Answer:
(x)=(x-7)(x-4)
g(x)=x(2)+7x - 2
Now find a common denominator. (x+10)(x-4) is a good one.
x-16/(x+10)(x-4)+x-4/(x+10)(x-4)
2x-20/(x+10)(x-4)
The value of function g(f(-1)) is -70.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The value of functions,
f (x) = -4x - 7
g (x) = x² + 7x - 2
Now, Value of function g(f(-1)) as;
g(f(x)) = g(-4x - 7)
= (-4x - 7)² + 7(-4x - 7) - 2
= (4x + 7)² + 7 × -4 × x - 7 × 7 - 2
= 16x² + 49 + 56x + 28x - 49 - 2
= 16x² + 84x - 2
Thus, g(f(x)) = 16x² + 84x - 2
Now, To find value of g(f(-1)) we can substitute x = -1,
g(f(-1)) = 16(-1)² + 84(-1) - 2
= 16 - 84 -2
= -70
Thus, The value of function g(f(-1)) is -70.
Learn more about the function visit:
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