Answer:
6.34 years
Step-by-step explanation:
Given data
Principal P=$5,000
Rate r= 8%
Final amount A= $8,303.00
The expression for the time will be
t= ln(A/P)/r
substitute
t= ln(8,303.00/5000)/0.08
t= ln(1.6606)/0.08
t= 0.507/0.08
t= 6.3375
Hence the time is about 6.34 years
in a sale the price of a reduced by $40 t0 $115 what was the original price of the bag
Answer:
$155
Step-by-step explanation:
I believe you are saying that the original price of the bag was decreased by $40, and is now $115. Therefore, you add these two together to get the original price.
Help please I don’t understand this
Answer:
c
Step-by-step explanation:
In the field of calculus there is an opposite function to differentiation. What is the name of this function that is used to determine the area under a curve?
Integration
Separation
Agglutination
Conglomeration
Answer:
Integration
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration TechniquesAntiderivativesArea under the curveApplication of IntegrationStep-by-step explanation:
Integration is known as the "opposite" to differentiation. Integration is essential coined "antiderivatives" for being so.
Applications of Integration include finding the area under a curve; area between 2 curves; volumes of revolution; surface area for cartesian, parametric, and polar graphs; arc length for cartesian, parametric, and polar graphs; and the Integral Test for series convergence.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
fid the log of 0.0007356
Answer: 2.1333582794
Step-by-step explanation:
The base 10 logarithm of 0.007356 is -2.1333582794
log₁₀(0.007356) = -2.1333582794
Solve 5x + 17 = 4(3x - 1) x = -3 x = -3 Infinitely many solutions Infinitely many solutions No solutions No solutions x = 3
Answer:
3 =x
Step-by-step explanation:
5x + 17 = 4(3x - 1)
Distribute
5x+17 = 12x -4
Subtract 5x from each side
5x+17-5x = 12x-4-5x
17 = 7x-4
Add 4 to each side
17+4 = 7x-4+4
21 = 7x
Divide by 7
21/7 = 7x/7
3 =x
Answer:
x = 3
Step-by-step explanation:
5x + 17 = 4(3x - 1)
Distribute on the right side.
5x + 17 = 12x - 4
Subtract 12x from both sides. Subtract 17 from both sides.
-7x = -21
Divide both sides by -7.
x = 3
using the triangle 45o -45o -90o theorem solve this triangle. please
Answer:
The length of the leg is 11 units.
Step-by-step explanation:
The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is [tex]\sqrt{2}[/tex] times of the length of any of the legs. Hence, we get the following expression:
[tex]h = \sqrt{2} \cdot l[/tex] (1)
Where:
[tex]l[/tex] - Length of the leg, in units.
[tex]h[/tex] - Hypotenuse, in units.
If we know that [tex]h = 11\sqrt{2}[/tex], then the length of the leg is:
[tex]l = \frac{h}{\sqrt{2}}[/tex]
[tex]l = 11[/tex]
The length of the leg is 11 units.
HELPP WILL MARK brianilest!
sin =9/15 . Find tan 0
Answer:
c. 9/12
Step by step explanation.
Given: sin = 9/15
and,
[tex]sin = \frac{opp.}{hyp.} [/tex]
[tex]tan = \frac{opp.}{adj.} [/tex]
thus, find adj. side
by using Pythagoras theorem
[tex] {c }^{2} = {a}^{2} + {b}^{2} [/tex]
then,
let adj. side be a^
[tex] {a}^{2} = {c}^{2} - {b }^{2} \\ {a}^{2} = {15 }^{2} - {9}^{2} \\ {a}^{2} = 144 \\ a = 12[/tex]
thus,
adj. side is 12
then,
tan of the angle = 9/12
Which of the following rational numbers has the LEAST value? 1/2 55% 6/10 1/3 6/20
Answer:3
Step-by-step explanation:
Nor except
100 points please hurry!!
The kinetic energy, K, of an object varies jointly with its mass, m, and the square of its velocity, v. The mass of an object stays the same, but the velocity of the object is halved. How is the kinetic energy of the object affected? The kinetic energy is quartered. The kinetic energy is halved. The kinetic energy is doubled. The kinetic energy is quadrupled.
Answer:
the answer is A
Step-by-step explanation:
I took the test
The kinetic energy of the object is affected in that; The kinetic energy is quartered.
How to Solve Kinetic Energy Problems?We are told that kinetic energy, K, of an object varies jointly with its mass, m, and the square of its velocity, v. Thus;
K = mv²
Now, mass is same but velocity halved. Thus, we now have;
K = m(v/2)²
K = ¹/₄mv²
Thus, the kinetic energy is quartered.
Read more about Kinetic Energy at; https://brainly.com/question/25959744
#SPJ2
Find the area of the triangle
The area is __yd^2
Answer:
area of triangle = 4.5*6/2 = 13.5 sq.yd.
Step-by-step explanation:
The area of a right triangle is half of the product of the sides adjacent to the right angle.
Here the sides adjacent to the right angle are 6 yd and 4.5 yd.
Therefore the
area of triangle = 4.5*6/2 = 13.5 sq.yd.
Question : find the measure of angles x and y
show your work and write a sentence staring the answer
Answer:
x = 53°, y = 42°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180° for x
x = 180° - (37 + 90)° = 180° - 127° = 53°
48° + y = 90° ( subtract 48° from both sides )
y = 42°
What are the coordinates of the point on the directed line segment from (-3, -2) to (4, 8) that partitions the segment into a ratio of 3:2?
Answer:
Since the ratio is 3:2, you will need to find the x and y coordinates that are 3/5 of the way between (-8,2) and (7,-3)
For the x-coordinate, find the distance between x coordinates (7--8) = 15, take 3/5 of that = 9 and add that to the first x coordinate (-8) to get the x-coordinate of interest (1).
For the y-coordinate, find the distance between y coordinates (-3-2) = -5 take 3/5 of that = -3 and add that to the first y coordinate (2) to get the y-coordinate of interest (-1
So the coordinate of the point is (-2,6)
Step-by-step explanation:
Which cell function must occur for an organism to have enough water and nutrients?
Answer:
i think the endocytosis
Step-by-step explanation:
5. Becca wants to edge her hexagonal garden
with brick. All sides are equal. The brick costs
$6 per yard. What is the perimeter of the
garden? How much will it cost to buy the
edging she needs?
Answer:
[tex](a)\ Perimeter = 6l[/tex]
[tex](b)\ Cost = \$36l[/tex]
Step-by-step explanation:
Given
[tex]l \to sides[/tex]
Solving (a): The perimeter
The shape has 6 sides; since the sides are equal, the perimeter is:
[tex]Perimeter = 6 * l[/tex]
[tex]Perimeter = 6l[/tex]
Solving (b): Cost of fencing
We have:
[tex]Unit\ cost = \$6/yd[/tex]
So, the cost is:
[tex]Cost = Unit\ cost * Perimeter[/tex]
[tex]Cost = \$6/yd * 6l[/tex]
[tex]Cost = \$36l[/tex]
To get the actual answer, substitute the length of one side of the hexagonal in the calculated expressions
Need Help!!!
Radius= 4
Height= 6
Pi= 3.14
Answer:
301.44
Step-by-step explanation:
V = h x π x r^2
V = 6 x 3.14 x 4^2
V = 301.44
hope this helped!
noah took a long bike ride.he began at his house,riding 3 km west. he turned north and rode 5km . he took a turn to the east and rode 6km. next he rode south for 2km. noah turned west and rose 3km, then made one more turn to get home . which direction was his last turn and how far was the last leg of the trip
Answer:
His last turn was in West direction and his last leg of the trip is 6 Km away
Step-by-step explanation:
The direction and distance travelled is as follows
a) West - 3 Km
b) North - 6 Km
c) South 2 Km
d) West - 3 KM
At last he turned in the west direction and he travelled 3 Km + 3 Km = 6Km
Write the factored form of each trinomial.
x^2 + 13x + 36
Enter your answer.
Answer:
(x+9) (x+4)
Step-by-step explanation:
x²+13x+36
x²+9x+4x+36
x(x+9) +4(x+9)
(x+4) (x+9)
What is the geometric mean between 4 and 16? *
Answer:
8
Step-by-step explanation:
Distributive property using decimals:
a. -3×(3+7)=
b. -3[(-6)×3]
Answer:
Step-by-step explanation:
a.3(3+7)
3*3+3*7
9+21
30
b.-3[(-6)*3]
-3*-18
54
Hey there!
Question #1
-3(3 + 7)
3 + 7 = 10
-3(10)
= -30
Question #2
-3[(-6)×3]
-6(3) = -18
-3(-18)
= 54
Question #1
Answer: -30
Question #2
Answer: 54
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The graph of the function P(x) = −0.34x2 + 12x + 62 is shown. The function models the profits, P, in thousands of dollars for a tire company, where x is the number of tires produced, in thousands:
graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero
If the company wants to keep its profits at or above $75,000, then which constraint is reasonable for the model?
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Answer:
1.12 ≤ x ≤ 34.18
Step-by-step explanation:
____________
Answer:
The other person is correct. This will keep the companies profit above 75,000, because 1.12 < x < 34.18 goes past 75,000, and does not allow the profit to become less than.
Step-by-step explanation:
Find missing measure (No.5)
Answer:
Step-by-step explanation:
61+90+76+angle 2=360(sum of four angles is always 360 degree)
227+angle 2=360
angle 2=360-227
angle 2=133
angle 1=76 degree(being vertically opposite angle)
angle 1+angle 3+120+88=360(sum of four angles ia always 360 degree)
76+angle 3+208=360
angle 3=360-284
angle 3=76 degree
Can someone help me with this question please
2. A number cube is labelled 1 to 6
The cube is rolled 60 times.
Predict how many times each outcome will occur.
Explain each answer.
a) 1 is rolled.
b) An even number is rolled
c) A number greater than 3 is rolled.
d) 9 is rolled.
I
Answer:
a fair cube is expected to come up an equal number of times on each side
6 sides, 60 rolls
... each side is expected 10 times
a) 10 ... expected outcome
b) 30 ... expected outcome
c) 30 ... expected outcome
d) 0 ... only 6 sides
Which is the solution for the system of linear equations below?
y= -1/3x + 3
y = -x + 1
Answer:
x= −3 and y= 4
not sure if this is what your looking for tho
Step-by-step explanation:
please find the vertex to this quadratic
Pls help fast, everything is in the attached file
Answer:
[tex]\frac{20}{369}[/tex]Step-by-step explanation:
[tex]\frac{ 3.4:1.8 - 1 \frac{2}{3} + \frac{7}{9} }{0.918:0.51 + 0.45} =[/tex][tex]\frac{\frac{34}{18}- \frac{5}{3}+\frac{7}{9} }{18 +\frac{45}{100} } =[/tex][tex]\frac{\frac{17}{9}-\frac{15}{9}+\frac{7}{9}}{18+ \frac{9}{20} } =[/tex][tex]\frac{\frac{17-15+7}{9} }{\frac{369}{20} } =[/tex][tex]\frac{9}{9} } *\frac{20}{369} =[/tex][tex]\frac{20}{369}[/tex]Where should i put it and what does the question mean
Answer:
-10
Step-by-step explanation:
it is asking you to graph the opposite of 10. The opposite of any number is just the same number put negative. So you would click on -10 as the answer.
I believe its negative 10
6n+8=32,n=____
a. 1
b. 2
c. 4
d. 8
Answer:
c.4
Step-by-step explanation:
c.4
Answer:
N=4
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
32-8=24
24/6=4
Adult tickets to a football game costs $6 and student tickets cost $2. A total of $1776 was collected on tickets 372. How many adult tickets were sold?
Answer:
s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets
Step-by-step explanation: