Given,
d = 2t
here, t = 25
Therefore,
d = 2*25
= 50m
Two-Step Column Proofs.
E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and came up with two best ones o 4.8% simple interest for 2 years o 4.1 % / year compounded semi- annually for 2 years Compare both the plans and find out which is the best to choose
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Please hurry I will mark you brainliest
You are organizing an athletic banquet at school and you have $120 available through
fundraising for the
banquet. Any other costs must be covered from selling tickets for the event. You decide to take care of the major cost first-hall rental and caterer. Each caterer you approach is associated with a specific hall. Caterer One charges $45 per person. The cost of using the hall is inclusive. Caterer Two charges $250 for hall rental plus $28 per person.
Cater Three charges $500 for hall rental plus $20 per person.
Caterer one equation: C = $45n
Caterer two equation: C = $250 + $28n
Caterer three equation: C = $500 + $20n
Question: use technology (Desmos, Excel etc) or graph to graph each plan on the same set of axis. Assume that the maximum of attendees will be 50
Answer:
The solution to above problem is 1- $45n 2- $(250+28n) 3- $(500+20n)
Step-by-step explanation:
16x^2 - 49 when factored is ?
Answer:
(4x-7)(4x+7)
Step-by-step explanation:
This is called the Difference of Two Squares (DOTS).
These are the conditions that must be met for DOTS to work:
•There must be 2 terms.
•They must be separated by a negative sign.
•Each term must be a perfect square.
First, you have to find 2 square numbers that times together to make 16.
4×4=16
As we want 16x², you just need to make the 4 become 4x:
4x times 4x equals 16x²
Then, find 2 squares that times together to make 49.
7×7=49
You can put the two squares into a bracket with the x variable first, then the number:
(4x-7)(4x+7)
In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.
You can double check your answer by expanding it back out again using FOIL:
F-First
O-Outer
I-Inner
L-Last
Times the First two in the two brackets:
4x times 4x equals 16x²
Times the Outer two:
4x times 7 equals 28x
Times the Inner two:
-7 times 4x equals -28x
Times the Last two:
-7 times 7 equals -49
Form an equation:
16x²+28x-28x-49
The 28x cancel out to leave:
16x²-49
Hope this helps :)
the adjoining circle with O has a radius of 14cm ABCD is a square drawn inside the circle calculate the area of the shaded region plzz any help plzz
Answer:
bro just make me the branilist
In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.
Answer:
d = 4
Step-by-step explanation:
a7 = -9
a19 = 39
We know the formula for an arithmetic sequence is
an = a1+d(n-1)
Using the givens:
a7 = -9 = a1 +d(7-1)
a19 = 39 =a1 +d(19-1)
Subtracting these equations
-9 = a1 +d(6)
39 =a1 +d(18)
------------------------
-48 = 0 -12 d
Divide by -12
4 =d
If patient's current ledger balance is $238.00, the patient's fees for today are $117 and the patient paid $100.00 today, what is the patient's new balance:
Answer:
$138
but if the 117 was paid it would be $21
Step-by-step explanation:
The patient's new balance is $255
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Patient's current ledger balance = $238.00
The patient's fees for today = $117
The patient paid $100.00 today
Now, balance including todays pay= $238.00+$117
=$355
Patient payed 100 so,
=355-100
=255
Therefore, the answer of this algebraic problem will be $255
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
What are the terms in the expression 13y + 4p + 11?
A.17y + P
B.13y, 4p, 11
C.13, 4, 11
Answer:
Step-by-step explanation:
Option B is the correct answer
Choose a value for n that will make the sum negative.
15 + n
In ΔABC, the measure of ∠C=90°, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of ∠B to the nearest hundredth? *WILL MARK BRAINLIEST*
Answer:
4.44
Step-by-step explanation:
The tangent of B is the relation of the opposite cathetus to the lying cathetus
tg B= AC/CB= 40/9= 4.44
The value of the tangent of angle B is 4.4.
What is the tangent of an angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.
Given that, a right triangle Δ ABC, the measure of ∠C = 90°, AC = 40, BA = 41, and CB = 9. We need to find the value of the tangent of ∠B,
So, here,
The opposite side = AC and the adjacent side = CB
So, tan B = AC / CB = 40/9 = 4.4
Hence, the value of the tangent of angle B is 4.4.
Learn more about tangent of an angle, click;
https://brainly.com/question/10053881
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Which is the inverses I still don’t get this
Answer:
C.
[tex]{ \tt{f(x) = \frac{12}{x} - 18}} \: and \: { \tt{g(x) = \frac{12}{x + 18} }}[/tex]
Step-by-step explanation:
[tex]{ \tt{f(x) = \frac{12}{x} - 18}}[/tex]
Let inverse be m:
[tex]{ \tt{m = \frac{12}{x} - 18 }} \\ { \tt{x(m + 18) = 12}} \\ { \tt{x = \frac{12}{m + 18} }} \\ \\ { \boxed{ \sf{f {}^{ - 1} (x) = g(x) = \frac{12}{x + 18} }}}[/tex]
How do you make x the subject of the formula?
I need help on this one
y= 7x-1
Answer:
x=[tex]\frac{y+1}{7}[/tex]
Step-by-step explanation:
Hi there!
We want to make x the subject of the formula, which means to solve the formula for x
Here is the given formula:
y=7x-1
Our ultimate goal is to isolate x onto one side
Start by subtracting 7x from both sides
y-7x=-1
Subtract y from both sides to remove it from the left side
-7x=-y-1
Divide both sides by 7
x=[tex]\frac{-y-1}{-7}[/tex]
Simplify (factor -1 out of the numerator and denominator, then cancel it out)
x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]
x=[tex]\frac{y+1}{7}[/tex]
Hope this helps!
Answer:
x = 1/7(y+1)
or
x = 1/7 y + 1/7
Step-by-step explanation:
y= 7x-1
Solve for x
Add 1 to each side
y+1 = 7x-1+1
y+1 = 7x
Divide each side by 7
1/7(y+1) = 7x/7
1/7y + 1/7 =x
a car is running in the straight line and covered a distance 70 km in 1hr. velocity find
We know
[tex]\boxed{\sf Velocity=\dfrac{Distance}{Time}}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{70}{1}[/tex]
[tex]\\ \sf\longmapsto Velocity=70km/h[/tex]
For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?
please answer this question!!
NOW ASAP NEED FAST ANSWERRRRRRRRRRRRRRRRRRR
Answer:
C.
Step-by-step explanation:
Dis means apart and junc means join so disjunction means the "state of being disconnected".
8abx−10a2b+12ax2−15a2x plz regroup and factories this expression
Answer:
2x (4a-5b)2+ 3x (3a-4b)
I hope this answer was helpfull for you
What is −1280 as a decimal?
Answer:
-1280.0
Step-by-step explanation:
It is a whole number
if you want to show it as a decimal,
put ' .0 ' at the end of the whole number. That is,
=> -1280.0
please help fast!! geometry
Answer:
512 inches ^2
Step-by-step explanation:
The surface area is found by
SA = 2(lw+wh+hl) where l is the length h is the height and w is the width
SA = 2( 8*8 + 8*12 + 12 * 8)
= 2(64+ 96+96)
= 2 ( 256)
= 512 inches ^2
Answer:
512 square inches
Step-by-step explanation:
8 x 8 = 64
12 x 8 = 96
64 x 2 = 128
96 x 4 = 384
128 + 384 = 512 in^2
Which of these expressions is equivalent to 4m + 8m?
A.
32m
B.
12m2
C.
32m2
D
12m
Answer: D. 12m
Step-by-step explanation:
They are both like terms so they can be added
Is 3.18 a real number
C = (5,6) and D = (2,2)
CD = [ ? ]
HINT: Use the distance formula:
d = (x2 – Xı)2 + (y2 - Yı)2
Answer:
5
Step-by-step explanation:
[tex]\sqrt{(2-5)^2+(2-6)^2} = \sqrt{(-3)^2+(-4)^2} = \sqrt{(9+16)} = \sqrt{25} = 5[/tex]
Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?
Answer:
$1857.60
Step-by-step explanation:
Ceasar's initial deposit will earn $57.60 in interest after one year (annual interest rate of 3.2%). When that is added to his deposit of $1800, Ceasar will have $1857.60 in the bank at the end of one year.
Answer:
Hi jaajajajajaja
Step-by-step explanation:
Hi Hi aaaaaaaaaaaaaaaaa
please help! look at picture!
Answer:
[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Step-by-step explanation:
2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]
1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]
[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.
Hope this helps!
What is the correct numeral for Seventy three lakh forty thousand fifteen ? *
1 point
73,40,015
73,40,105
73,4015
Answer:
1-73,40,015 your answer
What is the area of Triangle PQR on the grid?
A triangle PQR is shown on a grid. The vertex P is on ordered pair 7 and 6, vertex Q is on ordered pair 1 and 6, and the vertex R is on ordered pair 4 and 2.
5 square units
6 square units
10 square units
12 square units
Answer: D) 12 square units
Explanation:
The base is QP = 6 units long.
The height is always perpendicular to the base, and the height is 4 units.
area = 0.5*base*height
area = 0.5*6*4
area = 3*4
area = 12 square units
Answer:
12
Step-by-step explanation:
Which sequence is geometric?
•1, 5, 9, 13
•2, 6, 8, 10
•5, 7, 9, 11
•4, 8, 16, 32
Answer:
1,
Step-by-step explanation:
now z also a dk4k ak4 smka 4ml 4 LL
What is the name of the degree of the following polynomial?
2x3
Answer:
So, the degree of the polynomial 2x - 3 = 1.
Which of the following is true about these similar triangles?
A. AB/BC = DE/DF
B. AB/BC = DE/EF
C. AB/BC = BC/DF
D/ AB/BC = BC/AB
Answer:
B
Step-by-step explanation:
You have to match up the corresponding sides in the 2 triangles
The sides you have to find are AB/BC
The side that corresponds to AB in triangle DEF is DE
The side that corresponds to BC is EF
Given the function f(x) = x2 + 8x – 12, what is the
value of f(2)?
Answer:
f(2) = 8
Step-by-step explanation:
f(x) = x^2 + 8x – 12
Let x = 2
f(2) = 2^2 + 8*2 – 12
= 4 + 16 -12
=20-12
= 8
Answer:
[tex]f(x) = {x}^{2} + 8x - 12 \\ f(2) = (2)^{2} + 8(2) - 12 \\ = 4 + 16 - 12 \\ f(2) = 8[/tex]
I hope I helped you^_^
