Answer:
Milla's account would earn $63 more that Gino's account after 1 year.
Step-by-step explanation:
Both Gino and Milla made an initial deposit of $6300.
Principal = $6300
Gino's rate = 2% = 0.02
Milla's rate = 3% = 0.03
number of years = 1
Interest = Principal x Rate x Time
So that,
for Gino;
Interest = 6300 x 0.02 x 1
= 126
The interest on Gino's savings after a year is $126.
for Milla;
Interest = 6300 x 0.03 x 1
= 189
The interest on Milla's savings after a year is $189.
Milla's interest - Gino's interest = 189 - 126
= 63
Milla's account would earn $63 more that Gino's account after 1 year.
0.5x + 0.25(x + 16) = 4 + 0.75x
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[tex]0.5x + 0.25(x + 16) = 4 + 0.75x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} (x + 16) = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} x + \frac{16}{4} = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{2}{4} x + \frac{1}{4}x + 4 = \frac{3}{4} x + 4 \\ [/tex]
[tex] \frac{3}{4} x + 4 = \frac{3}{4} x + 4 \\ [/tex]
The sides are exactly have like terms ,
Thus we have infinite solution for the equation.
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p-g=0
Which of these is equal to q?
A -p
B 0
C p
D 1/p
Answer:
C. p
Step-by-step explanation:
Given the expression p - q = 0
We are to find the value of q
Substract p from both sides;
p - q - p = 0 - p
-q = - p
Multiply both sides by -1
-(-q) = -(-p)
q = p
Hence the correct solution is q = p
Find the slope of the line that would pass through the ordered pairs below.
(-7, 9) and (14, -18)
Find (f - g)(x)
f(x) = 3x2 – 2x
g(x) = 9x2 - X+7
A. -6x2 - x-7
B. 6x2 – x+7
C. 12x2 - x-7
D. -6x2 – 3x-7
Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Hence, by substitution:
[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]
Distribute:
[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]
Rearrange:
[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]
Combine like terms:
[tex]=-6x^2-x-7[/tex]
Hence, our answer is A.
Answer:
Step-by-step explanation:
3x^2 - 2x - 9x^2 + x - 7
-6x^2 - x - 7
answer is A
three times the sum of n and four is twelve. write an equation or inequality.
9514 1404 393
Answer:
3(n+4) = 12
Step-by-step explanation:
The sum of n and 4 is (n+4). Three times that sum is 3(n+4). When we say it "is 12", we mean it is equal to 12.
3(n +4) = 12
22. Evaluate the expression 1x2 + 2x +1 when
x = -5.
perform the indicated operation :-1)( 1)(2)(2)(-2)
Answer:
8
Step-by-step explanation:
The indicated operation is multiplication, therefore:
-1 × 1 × 2 × 2 × -2 = 8
What is the solution to the linear equation 4b + 6 = 2 - b+ 4
Final Answer: [tex]b = 0[/tex]
Steps/Reasons/Explanation:
Question: What is the solution to the linear equation [tex]4b + 6 = 2 - b + 4[/tex]?
Step 1: Simplify [tex]2 - b + 4[/tex] to [tex]6 - b[/tex].
[tex]4b + 6 = 6 - b[/tex]
Step 2: Cancel [tex]6[/tex] on both sides.
[tex]4b = -b[/tex]
Step 3: Subtract [tex]-b[/tex] from both sides.
[tex]4b + b = 0[/tex]
Step 4: Simplify [tex]4b + b[/tex] to [tex]5b[/tex].
[tex]5b = 0[/tex]
Step 5: Divide both sides by [tex]5[/tex].
[tex]b = 0[/tex]
~I hope I helped you :)~
Answer:
b = 0
Step-by-step explanation:
(Combine like terms): 4b + 6 = 2 - b + 4
4b + 6 = 6 - b
(Use Addition property of
equality to add b): 4b + b + 6 = 6
5b + 6 = 6
(Use Subtraction property of
equality to subtract 6): 5b + 6 - 6 = 6 - 6
5b = 0
(Divide both sides by 5): 5b = 0
5 5
b = 0A truck moves 3 km in 30 min and and returns at same distance in 20 min find average speed
Answer:
Step-by-step explanation:
the truck mover 3 km one way, 3 km back, so he moves 6 km
one way the truck needs 30 min, on the way back 20 min
so we have 6 km in 50 min
v=distance/time
v one way=3km/30 min=0.1 km/min
v on the way back=3 km/20min=0.15 km/min
v average =0.1+0.15=0.125 km/min
or 7.5 km/hour
what is the branch of mathematics that uses variables, numbers and operations.
Answer:
Step-by-step explanation:
Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary. These variables include things like the relationship between the supply of an object and its price.
Answer:
Algebra
Step-by-step explanation:
This is because the branch of mathematics that uses variables, numbers, and operations is called algebra.
Need the answer asap!
Answer:
--> (-7)+3 = -4
--> (-5) +1=-4
-->(-3)+(-1)=-4
Answer:
(x+3)x(x-2)
Step-by-step explanation:
At an intersection, the red light of route A is red for 60 seconds and the other two lights are red for 45 and 75 seconds, respectively. What is the probability that a car traveling from route A will encounter a red light at an intersection?
Answer:
1/3
Step-by-step explanation:
The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.
The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.
Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.
So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)
= 60 s/180 s
= 1/3
Andy used 16 centimeters of tape to wrap 4 presents. How many presents did Andy wrap if he used 32 centimeters of tape?
Answer: 8
Step-by-step explanation:
16 centimeters of tape for 4 presents = 4 centimeters of tape per present.
Since he used 32 centimeters of tape, he wrapped a total of 8 presents.
Answer:
8
Step-by-step explanation:
need help please?????
Could you guys help me solve 9 I would appreciate it :)
Answer:
Step-by-step explanation:
12<18/3(-2)+12 turns into 12<18/-6+12
False
Please help me with this question!
Raoul rode an elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor. Which equation shows an equality between two different ways of expressing the floor Raoul exited?
A.) 34 = 5 + e
B.) 34 = e - 5
C.) 34 = 5 - e
D.) 34 = 5e
Thank you for your time!~
Lots of love for you~ <3
Answer:
The answer would be c
Step-by-step explanation:
y = 5 - 3x Rewrite in y = mx + b form.
I need help ASAP!!!!
Answer:
12/50 - 6/25 The simplest form in 6/25
Hope This Helps!
Subtract.
(29v)−(−13v+59)
Answer:
(29v)−(−13v+59)
29v + 13v - 59
42v -59
Answer:
42v-59
Step-by-step explanation:
(29v)+13v-59 In this step we first simplify
42v-59 Add like numbers (v)
so the question is 5x - 7 = 28 What does x equal
Answer:
x=7
Step-by-step explanation:
Answer:
7
My Logic:
If you work backwards to simplify the eqation you can get x
take 5x-7=28 and add 7 to both sides. so now the eqaton looks like this: 5x=35. next you divide 5 into both sides and you will get 7!
Hope this helps!
Write 45 as a product of primes. Use index notation when giving your answer.
Answer:
9*5=45
3*3*5=45
Therefore:
3^2 *5 = 45
i hope this helps :)
factor completely 4x⁸+12x⁷-16x⁶-48x⁵
420-69+80085+5318008
Will give brainliest
Answer:
The answer is 5398444
Answer:
420−69+80085+5318008
=5398444
Step-by-step explanation:
On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?
Your answer:
help o_o
Answer:
94%
Step-by-step explanation:
Can somebody plz help answer this word problem (showing the steps to get answer) thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDDDD
Answer:
528 cookies
Step-by-step explanation:
3 hours 55 minutes
=3×60+55
=235 and
235-215 ( for preheating minutes)
220
So
20 minutes…=48 cookies
1. ". =48/20 "
220 ". =48/20×220 "
=12/5×220 "
= 528 "
Answer:
well im not sure but i got 220
Step-by-step explanation:
so you convert the 3 hours and 55 minutes into minutes so
3*60=180
180+55=235
235-15=220
(for the preheating part)
220/48=4.583333333
4.583333333*48=(about)220 (actual number is 219.999999984)
so 220 cookies
Find the GCF (30,45)
Hey there! I'm happy to help!
The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:
30: 1, 30, 2, 15, 3, 10, 5, 6
45: 1, 45, 3, 15, 5, 9
We see that the largest number they both have in common is 15, so the GCF is 15.
Have a wonderful day! :D
solve the system of equations
y=-2/3x+1 and x+y=4
Answer:
Point form: (9,-5)
Step-by-step explanation:
y=-2/3x+1 and x+y=4
Point form: (9,-5)
Equation form: x = 9, y = -5
pls :,) i suck at math
Answer:
60%
Step-by-step explanation:
The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:
10 to 6.
Percentages are typically x% out of 100, so if you multiply both by 10 you get:
100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Answer:
a i think
Step-by-step explanation:
Directions: Fill in all blank spaces in the table. Show all work below the table or on a separate sheet of paper. If needed, round your answer to the nearest tenth.
Answer:
# of sides [tex]{}[/tex] Interior One Interior Angle Exterior One
[tex]{}[/tex] Angle Sum Angle Sum Exterior Angle
14 [tex]{}[/tex] 2,160° 154.3° 360° 25.714°
24 [tex]{}[/tex] 3,960° 165° 360° 15°
8 [tex]{}[/tex] 1,080 135° 360° 45°
30 [tex]{}[/tex] 5,040 168° 360° 12°
12 [tex]{}[/tex] 1,800 150° 360° 30°
Step-by-step explanation:
Please find attached the table of values calculated with Microsoft Excel
From the given table, we have the formula for the following parameters;
Number of sides = n
Interior Angle Sum = 180×(n - 2)
Measure of ONE Interior = 180×(n - 2)/n
Angle (regular polygon)
Exterior Angle Sum = 360°
Measure of ONE Exterior = 360°/n
Angle (regular polygon)
1) When n = 14, we have;
The interior Angle Sum = 180×(14 - 2) = 2,160°
The measure of one Interior angle (regular polygon) ; 180×(14 - 2)/14 ≈ 154.3°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/14 ≈ 25.714°
2) When n = 24, we have;
The interior Angle Sum = 180×(24 - 2) = 3,960°
The measure of one interior angle (regular polygon); 180×(24 - 2)/24 = 165°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/24 = 15°
3) When the interior angle sum = 180×(n - 2) = 1,080°, we have;
n = 1,080°/180° + 2 = 8
n = 8
The measure of one interior angle (regular polygon); 180×(8 - 2)/8 = 135°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/8 = 45°
4) When the interior angle sum = 180×(n - 2) = 5,040°
n = 5,040°/180° + 2 = 30
n = 30
The measure of one interior angle (regular polygon); 180×(30 - 2)/30 = 168°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/30 = 12°
5) When the measure of one interior angle (regular polygon), 180×(n - 2)/n = 150°, we have;
180°·n - 2×180° - 150°·n = 0
30°·n = 360°
n = 360°/30° = 12
n = 12
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/12 = 30°
Rewrite 12/20 with the denominator of 100
Explain how to get it