Compute the future value of $1,000 compounded annually for:
A. 10 years at 5 percent.
B. 10 years at 10 percent.
C. 20 years at 5 percent.
D. Why is the interest earned in part (c) not twice the amount earned in part (a)?
Answer:
1628.89
2593.74
2653.30
Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.
Step-by-step explanation:
A: 1000*(1.05)¹⁰= 1628.89
B: 1000(1.1)¹⁰= 2593.74
C: 1000(1.05)²⁰= 2653.30
D: Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.
Find the slope of the line passing through these points (-3,4) and (4,1)
Answer:
-3/7
Step-by-step explanation:
To find the slope use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1-4)/(4 - -3)
= (1-4)/(4+3)
= -3/7
Answer:
slope = - 3/7
step-by-step explanation:
we have two points which are (-3,4) and (4,1).
To find the slope of line , use the slope formula which is
m = ( y² - y¹ ) / ( x² - x¹)
Where,
m = slope( y² - y¹ ) = ( 1-4 ) ( x² - x¹) = ( 4 - ( - 3 ) )substitute the values
m = ( 1 - 4 ) / ( 4 - ( - 3 ))
m = -3 / 7
Hence, slope is -3/7.
A parabola is the set of all points that...
Answer:
is equidistant from a focus point and a line
Answer:
what
Step-by-step explanation:
pa brainliest tol please
Which of these graphs shows line CD parallel to line MP and passing through point (1, -3)
Solve for X to the nearest tenth.
Answer:
x ≈ 24.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 38°
Adjacent Leg = x
Hypotenuse = 31 cm
Step 2: Solve for x
Substitute in variables [cosine]: cos38° = x/31[Multiplication Property of Equality] Multiply 31 on both sides: 31cos38° = xRewrite: x = 31cos38°Evaluate: x = 24.4283Round: x ≈ 24.4solve the differential equation: x(y^2 - 1)^1/2 dx-y(x^2-1)1/2 dy=0
Try this solution, note the answer is marked with green colour.
Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
find the additive inverse and multiplicative inverse of a 5
Answer:
ans: additive inverse is -5
multiplicative inverse is 1/5
Step-by-step explanation:
adding what value to 5 makes it 0 i.e
5 + (- 5)= 0 ( so additive inverse is -5)
multiplying what value to 5 makes it 1 i.e
5×( 1/5)=1 ( so multiplicative inverse is 1/5)
Give the slope and the y-intercept of the line y=6x – 1. Make sure the y-intercept is written as a coordinate.
Answer:
slope = 6
y-intercept is (0,-1)
Step-by-step explanation:
the equation y = 6x-1 is written in slope-intercept form so it's easy to find the slope and the y-intercept
VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
Larger number: 22
The smaller number: 14
HOPE THIS HELPS
Adithya's favorite brand of peanut butter is available in two
sizes. The regular size costs $3.36 for 16 ounces. The
family size costs $7.60 for 40 ounces. Which is the better
buy?
Answer:
Family size
Step-by-step explanation:
40 oz of the regualr size would cost $8.40, therefor making the family size a better deal.
Hope this helps, correct me if i am wrong :)
A spinner with 8 equally sized slices has 2 yellow slices, 3 blue slices, and 3 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow or blue slice?
Answer:
5/8
Step-by-step explanation:
First, find how many slices are yellow or blue.
There are 2 yellow slices and 3 blue slices, so 5 of them are either yellow or blue.
There is a total of 8 slices.
So, the probability that it will stop on a yellow or blue slice is 5/8.
please answer thanks
Answer:
a
Step-by-step explanation:
I believe it is answer a. the helicopter is the distance in the air that it is cruising and the angle is how it has to begin its decent down to the fireman
Leslie is a biologist. She’s going to randomly select one animal from her lab to study. There are five salamanders, three crayfish, and 12 minnows in her lab. What is P (salamander)?
Find the unknown side length, X. Write your answer in simplest radical form,
A 432
B. 22
C. 16.15
D. 16./13
Answer:
22/ b hope this helps
Step-by-step explanation:
Can you help? What do you think ??
Answer:
The amount of money one may spend in a month may be greater than that of ones monthly payment especially when the payment is at a lower rate.
Please help!!
Will mark brainilest!!
Point of intersection is the solution of the system of equations.
Both of them intersect at point (-3,5)
So, (-3,5) is the solution of the system of equations.
OPTION B
Answer:
(-3,5)
Step-by-step explanation:
The solution to the system is where the two graphs intersect. They intersect at two points
(-3,5) and (1,-3)
The only solution listed as a choice is (-3,5)
Jamal needs to plot at least 1 point from each set of numbers in the chart. If he graphs -5 and 5, which sets of numbers can he cross first? choose all that apply
A Rational numbers
B Integers
C whole numbers
D Natural numbers
Answer:
A Rational numbers
B Integers
Determine the general solution of 2 sin x.cos x-cos x=0
Answer:
[tex]{ \tt{(2 \sin x. \cos x) - \cos x = 0}} \\ \\{ \tt{ \cos x(2 \sin x - 1) = 0 }} \\ either : { \tt{ \cos x = 0 \: \: or \: \: (2 \sin x - 1) = 0}} \\ \\ { \boxed{ \bf{x = 30 \degree, \: 90 \degree, \: 150 \degree,\:270\degree}}}[/tex]
Find the volume of the figure shown below.
A)15 units^3
B)30 units^3
C)9 units^3
D)None of these answers
E)There is not enough information given
Answer:
B. 30 units³
Step-by-step explanation:
the volume= 5×2×3 = 30
Plzzz help asap i need a correct answer
Answer:
838
Step-by-step explanation:
556--282 negative minus a negative is a positive
Answer:
838
Step-by-step explanation:
556 - ( - 282 )
= 556 + 282
= 838
Which expression represents the product of (3x+5) with (2x-3)
Answer:
[tex]6x^2-x+15[/tex]
Step-by-step explanation:
(3x + 5)(2x - 3) = [tex]6x^2-9x+10x-15=6x^2+x-15[/tex]
A soup pot in the shape of a cylinder has a radius of 5 inches and a
height of 10 inches. How much soup can the pot hold? *
A) 750.8 cubic inches
B) 785.0 cubic inches
C) 525.7 cubic inches
D) 780.0 cubic inches
Answer:
B)785.0 cubic inches
Step-by-step explanation:
amount of soup the pot can hold is equal to its volume
Volume of a cylinder is πr²h
π(5inches)²x 10inches
785.39816339744830
~785.0 cubic inches
Find the area of the shaded region in square units. Show your reasoning.
Answer:
40 square units
Step-by-step explanation:
First of all, lets say that square has side [tex]l[/tex], so, the area unit is [tex]l^2[/tex]
the diagonal's square is [tex]l\sqrt{2}[/tex]
CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)
[tex]A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2[/tex]
CALCULATION OF MAIN SQUARE AREA
[tex]A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2[/tex]
TOTAL AREA
[tex]A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2[/tex]
A runner runs a distance of 300 metres in a time of 60 seconds.
What is his average speed?
Based on the triangle given, determine the trig ratio of the cos 0
Answer:
cos theta = 4/5
Step-by-step explanation:
Since this is a right triangle
Cos theta = opp side/ hypotenuse
Cos theta = 8/10
cos theta = 4/5
maya raised 286.00
lian raised 192.84 less than maya
rei earned 113.25 more than lian
what is the total amount of money raised by all three?
Answer:
585.57
Step-by-step explanation:
Maya got 286.00
if lian got 192.84 less than we do 286-192.84 which is 93.16
if lian got 93.16, we add 113.25 to 93.16 to get rei's amount.
113.25 + 93.16 = 206.41
Now we add all their amounts, 286+93.16+206.41
585.57
Which conditional statement is represented by the Venn diagram below?
Quadrilateral
Square
A. If a shape is a square, then it is a quadrilateral.
B. If a shape is a square, then it is not a quadrilateral.
0
C. If a shape is a quadrilateral, then it is a square.
D. If a shape is a quadrilateral, then it is not a square.
help simplify √10/18
Answer:
Letter A
Step-by-step explanation:
Hope this helps
Answer:
its A
Step-by-step explanation: