Answer:
[tex]19.9+0.05t<25[/tex]
Less than 102 text messages.
Step-by-step explanation:
Monthly charge of cell phone = $19.90
Cost of one text message = $0.05
Let number of text messages be [tex]t[/tex]
The monthly bill should be less than $25. So,
[tex]19.9+0.05t<25[/tex]
The required inequality is [tex]19.9+0.05t<25[/tex]
[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]
So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.
Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
Learn more about continuous compounding here,
https://brainly.com/question/13079114?referrer=searchResults
Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place
Answer:
AC = 6.7
Step-by-step explanation:
If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.
9^2 = 6^2 + b^2
81 = 36 + b^2
81-36 = b^2
45 = b^2
6.7 = b
so AC = 6.7
one direction is coming one direction is coming
Answer: sound the alerm-
Step-by-step explanation:
Help ASAP giving brainliest
Answer:
24÷8=3
Step-by-step explanation:
because 24÷8=3
Lupita y Andrés quieren comprar un bicicleta que ven todos los días en el aparador de la tienda la cual cuesta $3 686 ( IVA incluido 16%) y tiene el 20% de descuento ¿Cuanto pagara por la bicicleta?
Maria's car travels at 60 miles per hour. how far does she travel in 5.5 hours?
6-
5-
1 -
3-
S
2
7 T
1
0
1
1
1
2
3
1
4.
T
S
T
6
7
8
9
(a) Describe fully the single transformation that maps triangle S onto triangle T.
Answer:
c=45 +679 =6y=8h
Step-by-step explanation:
11x3728 divided by 7 x 6
Answer:
35149.71
that is the answer hope it help
Answer:
976.38 (rounded to the nearest hundredth)
Step-by-step explanation:
11 x 3728 = 41008
7 x 6 = 42
41008/42 = 976.38 (rounded to the nearest hundredth)
will the contents of a cylindrical can of soup with a 1.5-inch radius and a 5-inch height fit into a pan with a 4-inch radius and 3-inch height?
Answer:
Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.
Step-by-step explanation:
a. V = s3
V = (7 km)3
V = 7 km × 7 km × 7 km
V = 343 km3
b. V = s3
V = (11 yd.)3
V = 11 yd. × 11 yd. × 11 yd.
V = 1,331 km cu. yd.
a. V = l × w × h
V = 6 m × 2 m × 3 m
V = 36 m3
b. V = l × w × h
V = 5 ft. × 10 ft. × 8 ft.
V = 400 cu. ft.
a. V = πr2h
V = 3.14 × (3 in.)2 × 3 in.
V = 3.14 × 9 sq. in. × 3 in.
V = 84.78 cu. in.
b. V = πr2h
V = 3.14 × (1 m)2 × 4 m
V = 3.14 × 1 m2 × 4 m
V = 12.56 m3
V = s3
V = (2 ft.)3
V = 2 ft. × 2 ft. × 2 ft.
V = 8 cu. ft.
Answer: The capacity of the ice chest is 8 cubic feet.
V = πr2h
V = 3.14 × (1 ft.)2 × 3 ft.
V = 3.14 × 1 sq. ft. × 3 ft.
V = 9.42 cu. ft.
Answer: The volume of the trash can is 9.42 cubic feet.
Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.
Volume of Can
V = πr2h
V = 3.14 × (1.5 in.)2 × 5 in.
V = 3.14 × 2.25 sq. in. × 5 in.
V = 35.325 cu. in.
Volume of Pan
V = πr2h
V = 3.14 × (4 in.)2 × 3 in.
V = 3.14 × 16 sq. in.× 3 in.
V = 150.72 cu. in.
35.325 cu. in. soup can < 150.72 cu. in pan
Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.
Answer:
1.
a. V = s3
V = (7 km)3
V = 7 km × 7 km × 7 km
V = 343 km3
b. V = s3
V = (11 yd.)3
V = 11 yd. × 11 yd. × 11 yd.
V = 1,331 km cu. yd.
2.
a. V = l × w × h
V = 6 m × 2 m × 3 m
V = 36 m3
b. V = l × w × h
V = 5 ft. × 10 ft. × 8 ft.
V = 400 cu. ft.
3.
a. V = πr2h
V = 3.14 × (3 in.)2 × 3 in.
V = 3.14 × 9 sq. in. × 3 in.
V = 84.78 cu. in.
b. V = πr2h
V = 3.14 × (1 m)2 × 4 m
V = 3.14 × 1 m2 × 4 m
V = 12.56 m3
5.
V = s3
V = (2 ft.)3
V = 2 ft. × 2 ft. × 2 ft.
V = 8 cu. ft.
Answer: The capacity of the ice chest is 8 cubic feet.
V = πr2h
V = 3.14 × (1 ft.)2 × 3 ft.
V = 3.14 × 1 sq. ft. × 3 ft.
V = 9.42 cu. ft.
Answer: The volume of the trash can is 9.42 cubic feet.
Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.
Volume of Can
6.
V = πr2h
V = 3.14 × (1.5 in.)2 × 5 in.
V = 3.14 × 2.25 sq. in. × 5 in.
V = 35.325 cu. in.
Volume of Pan
V = πr2h
V = 3.14 × (4 in.)2 × 3 in.
V = 3.14 × 16 sq. in.× 3 in.
V = 150.72 cu. in.
35.325 cu. in. soup can < 150.72 cu. in pan
Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.Step-by-step explanation:
-3 (w-3) - 9w - 9 = 4(w+2) - 12
HELPPPPP
Answer:
w = 1/4
Step-by-step explanation:
Distribute:
-3w + 9 - 9w -9 = 4w + 8 -12
Combine like terms:
-16w = -4
w = 1/4
Answer:
w=1/4
Step-by-step explanation:
-3w+9-9w-9=4w+8-12
-12w=4w+8-12
-12w=4w-4
-12w-4w=-4
-16w=-4
w=-4/-16
w=1/4
NO LINKS PLEASE and make sure it's correct
Answer:
regroup
Step-by-step explanation:
tamelas school day is 6 3/4 hours. She has seven classes that are 3/4 hour long. How many hours is Tamela not in class while she is at school
A: 1 1/2
B: 5 1/4
C: 6
D: 18 3/4
Answer:
A because 6.75 - 5.25 is 1.5
m∠1=119∘ and m∠2=61∘.
What is m∠3?
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer:
K12 answer
Step-by-step explanation:
Select the correct answer,
Annette wants to find out which of two toothpaste brands people living in the town of Springville prefer, brand A or brand B. She uses a random
sample to make this generalization: 60% of the population of Springville prefers brand A over brand B. For which random sample would this
generalization be valid?
OA. every third person who walks into one of the neighborhood convenience stores, which stocks several toothpaste brands
OB. every fourth student who attends Annette's school in Springville
OC. every other customer at all the convenience stores in Springville that stock both brand A and brand B
OD. every mother who shops at a convenience store in Springville
Reset
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Answer:
C.)
Step-by-step explanation:
every other customer at all the convenience stores in Springville that stock both brand A and brand B
Find the value of the variables.
Answer:
90°
Step-by-step explanation:
21. Which two ratios can be represented by a ratio of 7 to 12?
A the ratio of shells to rocks if there are 7 rocks and 12 shells
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
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Answer:
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by a divided by b.
A the ratio of shells to rocks if there are 7 rocks and 12 shells
12 shells and 7 rocks, so this ratio is 12 to 7.
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
12 shoes and 7 dresses, so this ratio is 12 to 7.
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
7 sick patients
7 + 12 = 19 total patients
So this ratio is 7 to 19
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.
Which of the following terms describes the 2 in the expression 5x - 3y + 2z + 1?
Answer:
coefficient
Step-by-step explanation:
it has three terms
-3 + 8n = -5
what is n?
Answer:
-1/4
Step-by-step explanation:
HELP?!? WHAT IS 2 x 2?
Use this if u need points? 2 3 4 10
Answer:
4 bc it is simple math
Step-by-step explanation:
pls give brainliest
I need help with this problem please.
Step-by-step explanation:
Airplane One 425m/h x 2h= 850 miles traveled N5°W
Airplane Two 530m/h x 2h= 1060 miles traveled N67°E
5 degrees + 67 degrees = 72 degrees divergence of the Airplane One and Two
Draw a triangle, the smallest side is 850 and adjacent to 1060 side. The angle between these two sides is 72 degrees
Use the acronym SOH CAH TOA to find the side which is the distance between the 2 airplanes after 2 hours
sine 72= opposite/hypotheneus
sine 72= opposite/1060
opposite = (sine 72)(1060)= 1008 miles distance between Airplane One and Airplane Two
One fruit punch has 10% juice and another has 50%. How much of the 10% should be mixed with 30 gal of the 50% to create punch that is 25% juice
Answer:
We combine x ounces of 100% juice
with 40-x of 10% juice
to get 40 ounces of 55% juice
x + 0.1(40-x) = .55(40)
x + 4 - 0.1x = 22
0.9x + 4 = 22
.09x = 18
x = 20 ounces of 100% juice
40-x = 20 ounces of 10% juice
We combine 20 ounces of each.
Step-by-step explanation:
The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.
Answer:
24.5
Step-by-step explanation:
whaeat is 2+3,inweed to thiks for kingergarten plwse help
Answer:
2 + 3 = 5
Step-by-step explanation:
ones Place Value
2 + 3 = 5
Put the 5 in Ones place
carry
2
+ 3
= 5
help me if you real big brain. if not pass by
Answer:
The area of this shape can not be solved using the information given
Step-by-step explanation:
There is no given side length of any of the shapes.
If one side is given then the whole shape could be solved.
Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping, Drag numbers to complete an equation to find
the cost of each shirt, s. Each number may be used only once.
3
7.99
71.83
Answer:
3s+7.99= 71.83 .
Step-by-step explanation:
since there are 3 shirts you would multiply s by 3 so 3s. To me it looks like 7.99 is the constant and 71.83 is the total including this constant. so putting all of these together in y=mx+b format you get the equation 71.83= 3s+7.99
hope this helps
11 of 16
What would be the first five terms of sequence whose first term is 1 and has a common ratio of 1/3?
Answer:
Step-by-step explanation:
This is a geometric sequence; we know that because of the words "common ratio." The general formula for a geometric sequence is
a(n) = a(1)*r^(n - 1), where r is the common ratio.
Here, a(1) = 1, r = 1/3, and so
a(1) = 1 (given)
a(2) = 1/3 (this is a(1) multiplied by 1/3)
a(3) = 1/9 (this is a(2) multiplied by 1/3)
a(4) = 1/27
a(5) = 1/81
A number cube is rolled 72 times. How many times would you expect it to land on 5?
Answer:
im confused about the question too
Step-by-step explanation:
sorry ;(
Answer:
14.4
Step-by-step explanation:
Find the distance between (0, 0) and (3, 4).
Answer:
L²=(3-0)²+(4-0)²
L²=9+16
L²=25
L=5units
Consider the graphs of f(x) and g(x).
ent
f(x)
g(x)
If g(x) = f(x) + k, find the value of k.
Answer:
K=7
Step-by-step explanation:
hope it helps you
have a wonderful day!!!
I’ll mark Brainliest
What’s the total and lateral surface area for the figure?
Answer:
40
Step-by-step explanation:
I believe that should be right