Answer:
the balance in the account after 20 years is $819
Step-by-step explanation:
The computation of the balance in the account after 20 years is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= $500 × (1 + 2.5%)^20
= $500 × 1.025^20
= $819
Hence, the balance in the account after 20 years is $819
PlEaSe PlEaSe HeLp!!!!!!!!!!!!!!!!!
Identify the term that completes the equation.
XZ2=(WZ)(?)
Answers:
WZ
XW
XZ
YZ
Answer:
1: b. YZ, see "geometric mean theorem" in Wikipedia
2: a. sin Y = 7.4/10.9 ≈ 0.68, sine = opposite/hypotenuse
3: c. tan P = 8.5/16 ≈ 0.53, tangent=opposite/adjacent
4: a. AC = 11.7, sine = opposite/hypotenuse, sin(43) = 8/AC
5. KM = 10.68 use Pythagorean Theorem
measure of angle M = 35 degrees, use definition of tangent
measure of angle K = 55 degrees, M and K are complementary angle
Step-by-step explanation:
i hope this help
The term that completes the equation is YZ.
Option D is the correct answer.
We have,
From the figure,
∆WXY and ∆XYZ
∠WXY = ∠XZY = 90
∠ZYX = ∠XYW (common angle)
∆WXY ≅ ∆XYZ
And,
∆WXY and ∆WXZ
∠WXY = ∠WZX = 90
∠YWX = ∠XWZ (common angle)
∆WXY ≅ ∆WXZ
Now,
From (1) and (2),
∆XYZ ≅ ∆WXZ
This means,
The corresponding sides are proportional.
We can write as,
YZ/XZ = XZ/ZW
XZ² = WZ x YZ
Thus,
The term that completes the equation is YZ.
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Lines De and AB are parallel.
D
C
E
B
А
Which angles represent alternate interior angles?
angles A and C
angles B and D
angles C, D, and E
angles B and C
Answer:
option 2
angles B and D are the alternate interior angles
lines DE and AB being parallel lines and and line BC being the transversal
Answer:
The answer is B and D
Step-by-step explanation:
Confirmed
Josh was able to type 496 words in 8 minutes. How many words can he type in 35 minutes?
Answer:
2170 words
Step-by-step explanation:
If we are assuming words and minutes are directly proportional to each other, we can say that w (words) = k (constant variable) x t (time in mins).
NOTE: directly proportional means that as one variable increases, the other variable increases too (or if one decreases, the other also decreases).K is the constant variable, which we must work out to find out any other time. If you rearrange the formula, it shows that k can be calculated by doing w/t. We have a set of values we can use to calculate k which are given in the question. So if we use this formula to calculate k, then:
k= w/t
k= 496/8
k= 62
Now we know the constant variable is 62. So, we go back to our equation but now we must find how many words. We now have our k value and our value for t. So, now we substitute:
w=kt
w= 62 x 35
w= 2170
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°26
24
10
HELP PLSSsSs
Answer:
what is the question? all I see is a drawing w labels
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
The triangle shown below are similar. Solve for x. 
Answer:
x=16
Step-by-step explanation:
27/45=(2x+7)/(4x+1)
cross multiply
27(4x+1)=45(2x+7)
108x+27=90x+315
108x-90x=315-27
18x=288
x=288/18
x=16
Looking at the image, The triangle shown below are similar. The value for x is 16.
What is the triangle about?Note that in the triangle given, the shapes are similar. Therefore:
27/45 = 2x + 7/ 4x + 1
3/5 = 2x + 7/ 4x + 1
So:
3 (4x + 1) = 5 (2x + 7)
12x + 3 = 10x + 35
12x - 10x = 35-3
2x = 32
x = 32/ 2
x = 16
Therefore, the value of x is 16.
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I need help please will mark you as brainliest
Answer:
178 correct problems
Step-by-step explanation:
turn the percentage into a decimal (0.89) and multiply it by the number of questions
Answer: 178
Step-by-step explanation:
89% x 200. Change percent to decimal by moving the decimal to the left two places.
.89 x 200 = 178
Solve for x, please!
Answer:
45
Step-by-step explanation:
Answer:
30 + 70 + 2x-10=180
90+2x=180
2x=180-90
x=90/2
x=45
X=45
Hope it helps
A cyclist accelerates from 10 ms to 50 ms in 8 second what is the acceleration
Help plz
Answer:
5m/s^2
Step-by-step explanation:
Acceleration = Change in velocity/time.
= 50 - 10
------------
8
= 40/8
= 5
Answer:
5 m/s²
Step-by-step explanation:
v = 50 m/s
u = 10 m/s
t = 8 s
[tex]a = \frac{v - u}{t} [/tex]
a = (50 - 10) ÷ 8
a = 40 ÷ 8
a = 5 m/s²
Solve for x
[tex]\frac{x}{7}[/tex] − [tex]\frac{x}{9}[/tex] =−1
Answer:
[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]
Step-by-step explanation:
[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]
Lets take the L.C.M of 7 & 9.
L.C.M of 7 & 9 = 63
[tex] = > \frac{9x - 7x}{63} = - 1[/tex]
[tex] = > \frac{2x}{ 63} = - 1[/tex]
Now lets multiply 63 on both the sides.
[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]
[tex] = > 2x = - 63[/tex]
Now lets divide both the sides by 2.
[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]
[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]
HELP!!!! IT'S DUE TONIGHT!!!!!!!!!!!!
help me please how do i do this
Answer:
41 degrees
Step-by-step explanation:
In a parallelogram, opposite angles are equal, so:
[tex]3x+11=5x-9\\-2x = -20\\x=10\\\\E = 3x + 11\\E = 3 * 10 + 11\\E = 30 + 11\\E = 41[/tex]
PLZ HELP MEEEEEEEEEEEEEEEEEE
HELP ME PLZZZZZZZZ ILL GIVE ALL MY 10 POINTS PLZZ
A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader
Answer:
1/2
Step-by-step explanation:
12 out of 24 is 1/2
What is the measurement of angle A, side b, and side a
Answer:
a=26.039, b=58.021, c=42, A=24 degrees, B=115 degrees, C=41 degrees
Step-by-step explanation:
trig
Answer:
Step-by-step explanation:
The movie club is having a new member sale, so Mindy signs up. The equation -0.4x + 0.05y - 1.25 = 0 relates y, the total cost, and x, the number of months. What is the y-intercept of the line represented by the equation?
Answer:
Y intercept : ( 0 , 25 )
Step-by-step explanation:
Answer:
(0, 25)Step-by-step explanation:
We need to convert function to slope-intrcept form y=mx+b, where:
-0.4x + 0.05y - 1.25 = 0 {multiply both sides by 20}
-8x + y - 25 = 0 {add (8x+25) to both sides}
y = 8x + 25 ⇒ b = 25
Therefore y-intercept of the line is (0, 25)
3/7=x/35
round to the nearest hundredth if needed.
Answer:
X=15
Step-by-step explanation:
3/7=x/35
105=7x
7x=105
x=15
$26.53 is what percent of $75.80 ?
Answer:
35%
Step-by-step explanation:
if m=4,then what two numbers can m equal?
What is the slope of the line l ? (-2,9) (6,1)
I’m confused on my math someone help
Okay so we’re trying to find out if they are true or false I guess so the first question is HELP MEEE
Answer:
False, True, True are thr answers
Tony graphed the line y = 52x + 2 on the coordinate plane. Which line did Tony graph?
Answer:
Slope:
52
y-intercept:
(
0
,
2
)
x
y
−
1
26
0
0
2
Step-by-step explanation:
sorry my thing is acting weird but try to solve it out ??
Y=x(4)/2+3x(3)-2x-12
Answer:
[tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = -\frac{x^4}{2} + 3x^3 - 2x - 12[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = -\frac{4x^{4 - 1}}{2} + 3 \cdot 3x^{3 - 1} - 1 \cdot 2x^{1 - 1}[/tex]Simplify Exponents: [tex]\displaystyle y' = -\frac{4x^3}{2} + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Divide: [tex]\displaystyle y' = -2x^3 + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Multiply: [tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]HELP ASAP I give brainliest!
1. I just signed up for Ugly Produce (a food delivery service for Ugly Fruits & Vegetables). My first box of apples arrived today. 2/5 of the apples were red. 3/4 of the remaining apples were green and the rest of the apples were yellow.
a. What percent of the apples were yellow?
b. Now that I have so many apples, I decided to make a giant apple pie. The recipe calls for 3 cups of sugar and 4 cups of flour but I only have 2 cups of sugar. How much flour should I use?
(set up a ratio/table or proportion and solve).
The label on a 1.25 pound bag of wildflower seeds states that it will cover an area of 280 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover?
Answer:
1 pound of sunflower seeds will cover about 187 square feet of land
Step-by-step explanation:
To solve this problem, we will have to assume that there is a linear relationship between the net weight of the wildflower seeds and the area of land it can cover when planted.
Based on this assumption, we can find the number of square feet that a 1 pound bag will cover, by setting up a simple relationship as shown below:
if 1.5 pounds covers 280 square feet
1 pound will cover x square feet.
by cross multiplying, we have that
x = (280 X 1) / 1.5 = 186.66 square feet.
Therefore, 1 pound of sunflower seeds will cover about 187 square feet of land
Sara buys a sweater at a department store. The sweater costs $3030. The store is having a 2525% off sale on everything in the store.
Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.
Answer:
25% of 3030 is 757.5, so basically she is saving 757.5 dollars
In the figure shown below, line “m” and line “n” are parallel what is the value of x?
Answer:
x = 20°
Step-by-step explanation:
3x - 10° + 5x + 30° = 180° { being co-interior angles }
8x + 20 ° = 180°
8x = 180° - 20°
8x = 160°
x = 160° / 8
x = 20°