Answer:
$856.91 after 7 years
Step-by-step explanation:
Initial investment, P = 500
Interest rate, i = 8% (compounded once a year, i.e. annually)
Number of years, t = 7
Substitute in compound interest formula
Future value,
A = P (1 + 0.08/1) ^(1*7)
= 500 (1.08)^7
= 856.91 (to the nearest cent)
If f(x) = 2x - 1, find f'(x).
Answer:
f'(x)=2
Step-by-step explanation:
[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]
Dmitri began working on his homework at 3:15 p.m. He worked for 1 5/6 hours and then stopped to have dinner. He started working on his homework again at 6:32 p.m. and worked for 1 1/3 hours longer. How many minutes did Dmitri work on his homework in all?
1 5/6 + 1 1/3 = 3 1/6
3 1/6 * 60 = 190
If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab
Answer:
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Step-by-step explanation:
Point P:
The coordinates of point P are (x,y).
AP=3/7 AB
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
We apply this both for coordinate x and coordinate y.
Coordinate x:
[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]
[tex]x + 2 = \frac{12}{7}[/tex]
[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]
Coordinate y:
[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]
[tex]y + 2 = -\frac{6}{7}[/tex]
[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
can you guys help me please!
Answer:
Step-by-step explanation:
write an equivalent logarithmic equation for e^x=24
Answer:
x=ln 24
Step-by-step explanation:
e^x=24
If we take the ln of both sides
ln e ^x= ln 24
x=ln 24
Help me I don't know any
Answer:
25%
Step-by-step explanation:
(a)
We need to express in percent 8 as a percent of 32.
We have,
Numerator = 8
Denominator = 32
Percent,
[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]
Hence, the required percentage is 25%.
Hi, I'm really struggling with this question, any help?
A function inputs values for x and outputs values for y. The ordered pairs below represent three points on the graph of the function. (2,4) (3,0) (5,−1)
Is the function linear? Justify your response.
Answer:
Nope it isn't linear.
Step-by-step explanation:
Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly
for instance you put 2,4
4 = -4(2)+12
4 = -8+12
that is true
but if you put in (5,-1)
-1 = -4(5)+12, which is not true
if all of them is true, then it would be true.
if even ONE of them is not true, then the who line is not linear
a 25% tip was payed on a 30$ meal what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
30 x 0.25= 7.50
Please help asap thanks
[tex] {10}^x = 5[/tex]
What is x?
×= 5/log 10 ^10
x= In 5
x=log 10^5
x=1/2
Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
Can you please help and I will mark brainliest if its correct
Step-by-step explanation:
diamonds and hearts are red cards
spades and clubs are black cards
15+11=26
26/52 is the probability of selecting a black card, 50%
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
Answer: The answer is y= f(x+1)+5
Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.
Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?
Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]
Step-by-step explanation:
Given
Mr. Caldwell has 10 full pizzas and half of another one
he wants to distribute it in among 8 of his students
Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]
So, each student gets
[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]
that is 1 pizza and five-sixteenth part of a pizza.
If Andrea traveled 300 miles in 5 hours at what rate was she driving?
Answer:
60
Step-by-step explanation:
[tex]\frac{300}{5}[/tex]
60
Hence, 60 is the answer
Answer:
60 mph
Step-by-step explanation:
For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:
[tex]300[/tex]÷[tex]5=60[/tex] miles.
So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.
Andrea was driving at 60 mph.
I hope this helps! Please let me know if you have any questions :)
Decrease 80ml by 40%
Answer:
48ml
because its the correct answer!
Answer:
48 ml
Step-by-step explanation. 80, percentage decreased by 40% (percent) of its value = 48
NEED HELP ASAP PLS
10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?
Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.
What is the value of the expression 1/3x − 3/4 when x = 1/4?
Solve for x. assume that lines which appear tangent are tangent. x=
Answer:
x = 8
Step-by-step explanation:
The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.
9(9 + 11) = 10(10 + x)
180 = 100 + 10x
10x = 80
x = 8
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Answer:
i think it will be chose 3 times
Step-by-step explanation:
im not sure thats my pridiction
Answer:
0.4
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Answer:
38sq yards
Step-by-step explanation:
Separate it into parts
3x2 for the top section
8x4 for the bottom
6+32=38
For an afternoon flight, the cost of a premiunm ticket is reduced from $114 to $96.90
Calculate the percentage reduction in the cost of a ticket
Answer:
out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-12-1
-3
-11
2
2
-1
2
х
-1
DO
o
-13
من ال۔
ला
==================================================
Explanation:
Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.
Adding on another quarter slice gets us 4/4+1/4 = 5/4
In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.
So 1 & 1/4 = 5/4
This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.
Now we'll add on 1/2, which is the same as 2/4, like so
(-1 & 1/4) + 1/2
-(1 & 1/4) + 2/4
-(1 + 1/4) + 2/4
-1 - 1/4 + 2/4
-1 + (-1/4 + 2/4)
-1 + 1/4
-4/4 + 1/4
-3/4
which points us to choice C as our final answer
Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.
Side note: -3/4 converts to the decimal -0.75
CAN SOMEONE PLEASE HELP ME??!!
Answer:
RO = 17.9
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
NK/NM = RO/RQ
71.6/64 = RO/16
71.6•16/64 = RO
RO = 17.9
the expanded form of 6,398 is
Answer:
The expanded form of 6,398 is 6000 + 300 + 90 + 8
evaluate the function for x = -8.
f(x) = -2x - 12
Answer:
4
Step-by-step explanation:
f(-8)=-2(-8)-12
f(-8)=16-12
=4
IF THE INTEGERS IS 12,-6,8,-5,7,-4,3 ARE MARKED ON THE NUMBER LINE, THE ONE THAT COMES ON THE EXTREME LEFT
Answer:
- 6
Step-by-step explanation:
Given the integers : 12,-6,8,-5,7,-4,3
To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.
Ordered value in ascendibg order :
-6, -5, -4, 3, 7, 8, 12
The value which will. Fall. On the extreme left is : - 6
please i need help, right now!!! i give the person the brainliest answer!! im giving 15 points… please help
Answer:
Ummmm its just a black screen
Step-by-step explanation:
Please help thanks! Brainliest
[tex]5[/tex] ✅
Step-by-step explanation:
[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
12.5
Step-by-step explanation:
14+6²÷(-4)
=14+6×6÷(-4)
=14+36÷(-4)
=50÷-4
=12.5
Bab need someone who can do quick mafs please!
Answer:
18.9 km²
Step-by-step explanation:
Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]
0.5(7 × 5.4) = 18.9 km²
Answer:
A = 1/2 bh
1/2 x 7 x 5.4
= 18.9km2
1.en cada unos de los siguientes monomios identificó el coeficiente y la parte literal , halló el grado y el valor numérico para los valores . ×=3,Z =5. (a) 3ײ (b) 4ײ y (c) - 5ײy²z².
porfa me ayudan