Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?
Answer:
$16.48
Step-by-step explanation:
Split this up into the four years.
For the first year, multiply 200 x .02 to get 4
Add 4 onto your total. ($204.00)
For the second year multiply 204 x .02 to get 4.08
Add 4.08 onto your total. ($208.08)
For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16
Add 4.16 onto your total ($212.24)
For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24
Add 4.24 onto your total (216.48)
Now subtract 200 from your total
216.48-200 = 16.48
She will be payed $16.48 in interest.
Is ABC" ADEF? If so, identify the similarity postulate or theorem that
applies
15
A. Similar - AA
B. Similar - SAS
C. Similar - SSS
D. Cannot be determined
here is answer
- BRAINLIEST answerer
The ∆ABC ~ ∆DEF by AA similarity Criteria.
What is Similarity?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Two angles in ∆ABC and their equivalent angles in DEF are congruent.
Hence, it follows that the triangles' third pair of angles would likewise be similar.
So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.
Then here the AA Similarity Criterion will be used.
Thus, ∆ABC ~ ∆DEF by AA Similarity rule.
Learn more about similarity here:
https://brainly.com/question/25502802
#SPJ7
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.
Use the distributive property to write an expression that is equivalent to 8 + 24x
Answer:
8(3x + 1)
Step-by-step explanation:
8 and 24 are multiples of 8
(8/8) + (24x/8) = 1 + 3x
The equation with distributive property is 8(1 + 3x)
-Chetan K
Can anyone help me to verify identities
Answer:
Step-by-step explanation:
18.
LHS
[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]
= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]
= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]
= [tex]cot^{2}a.cot^{2}b[/tex] - 1
Then you can conclude that LHS = RHS
19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = X - 4
H(x) = =x
h(x) = x
Answer:
Can you pls give a bit more information.
Step-by-step explanation:
a football team won 80% of the 150 games in a season. Wright the percent proportion that will help you solve the problem in that point
The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
Solve the equation
9 + 13 = 31
False
9 + 13 = 31
22 ≠ 31
Answer:
22
Step-by-step explanation:
po ang tamang sagon po
2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?
Select all the equations that apply.
Group of answer choices
5÷2.5=?
2.5*?=5
5*?=2.5
2.5÷5=?
A family needs to build fencing around their rectangular home and square swimming pool, depicted below
Answer:
160
Step-by-step explanation:
Angles on a line add up to 180. So what is x?
Answer:
x=121
Step-by-step explanation:
360_304=56180_115=6565+56=121x=121Answer:
x = 121°
Step-by-step explanation:
180 - 115 = 65°
The angle beside 115° is 65°.
A full circle is 360° so
360 - 304 = 56°
Add the two angles
65 + 56 = 121°
Subtract it to 180° to find the other angle
180 - 121 = 59°
Now subtract again to 180° to find the angle in the other side
180 - 59 = 121°
[tex] \: \: \: \: \: \: [/tex]
plss help me po!!
what is the measure of OS if MO = 6, OE =4 and OR=3?
a. 13
b. 8
c. 7.5
d. 7
explain your answer
see the attachment
need properly answer
nonsense answer will be reported
excellent answer will get brainlist and follow
#nospam
#nolinks
[tex] \: \: \: \: \: \: \: [/tex]
Answer:
B. 8Step-by-step explanation:
Intersecting chords theorem:
OS * OR = OM * OESubstitute values and solve for OS:
OS * 3 = 6 * 43OS = 24OS = 24/3OS = 8Correct choice is B
what is the number name of (i)46,25,689and (ii)658,902,250
Answer:
forty six hundred thousand tweny five thound and six hundred eighty nine
six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty
Step-by-step explanation:
helpp?? please :))))
Answer using seconds please!!!
Using my faucet, it takes 6 minutes to fill our water tank.
Using the neighbour’s hose, it takes 9 minutes.
How long would it take if I used both the faucet and the hose?
Answer:
900 seconds I believe
Step-by-step explanation:
60*6= 360
9*60=540
540+360=900
Graph: f(x) = 4 to the power of 4
Answer:
how am I supposed to graph?
Step-by-step explanation:
PLZ HELP I NEED IT
Find the length for X
Answer:
Step-by-step explanation:
[tex]\frac{6}{4.5}=\frac{4}{x}[/tex]
6x = 4 × 4.5
6x = 18
x = 3
Plz help me solve for x and y
Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given parallelogram ABCD :
∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°∠A = ∠C
3x = 120
x = 120 ÷ 3
x = 40°∠B + ∠C = 180°
2y + 120 = 180
2y = 180 - 120
2y = 60
y = 60 ÷ 2
y = 30°Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given the diagram of a parallelogram, where:
∠A = 3x°, ∠B = 2y°, and ∠C = 120°
The given problem also requires us to find the values of x and y.
In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles. In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.
Solve for x:Hence, we can establish the following equality statement to solve for the value of x:
m∠A = m∠C
3x° = 120°
Divide both sides by 3 to solve for x:
[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]
x = 40°
Therefore, the value of x = 40°.
Solve for y:In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.
In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.
We can establish the following equation to solve for the value of y:
m∠B + m∠C = 180°
2y° + 120° = 180°
Subtract 120° from both sides:
2y° + 120° - 120° = 180° - 120°
2y° = 60°
Divide both sides by 2 to solve for y:
[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]
y = 30°
Therefore, the value of y = 30°.
Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?
help asap!!
Answer:35 m
Step-by-step explanation:
North: 5+6+4. East: 4+16. 15+20
When 4 × 102 is divided by 2 × 10–2 the resulting quotient has 10 raised to the power of
Answer:
2038 that's a answer po because hindi kasali ang 10
The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.
Given data:
To perform the given division of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.
When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:
So, the exponent is represented as A.
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
Now, the value of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].
Now, simplify the exponent expression:
[tex]A=\frac{4*10^{2+2}}{2}[/tex]
[tex]A=2*10^{4}[/tex]
Hence, the exponential form is [tex]A=2*10^{4}[/tex].
To learn more about exponential form, refer:
https://brainly.com/question/29337692
#SPJ3
2. A number 'a' is equal to the square of the number 'b' plus three times the
number'c
o Write a formula for 'a'
Answer:
a = b² + 3c
Step-by-step explanation:
The square of the number b is b² and 3 times c is 3c , then
a = b² + 3c
Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof
PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
There is no Question or no images...
Step-by-step explanation:
which is not a property of the sides of a rectangle?
Answer:
A rectangle doesn't have equal sides
Both sides are not equal
Work out m and c for the line: 2 y + 6 x = 4
Answer:
m = -3
c = 2
Step-by-step explanation:
if m = slope and c = y-intercept:
Convert to slope - intercept form : y = mx + b, or y = mx + c
2y + 6x = 4
2y = -6x + 4
y = -3x + 2
(m)Slope = -3
(c)y - intercept = 2
-Chetan K
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct
Answer:
Elena is incorrect.
Step-by-step explanation:
In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.
If I'm correct, the scale copy should be 2.
∴/therefore, if it doesn't go through point D, Elena is incorrect.
Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯
-❤AbqveNatural❤
Help me please
You need to find the measure of angle A
Most people don’t do this when I ask these questions
Answer:
Step-by-step explanation:
6x + 5 = 4x + 45
6x - 4x = 45 - 5
2x = 40
x = 20
6x + 5 = 6.20 + 5 = 125°