1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inga [223]
3 years ago
5

Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. Sam initially i

nvested $4,500 into a savings account that offers an interest rate of 3% each year. He wants to determine the number of years, x, for which the account will have less than or equal to $7,020. Determine the solution set to the inequality that represents this situation.
Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

t \leq 18.67\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$4,500\\ A=\$7,020\\r=0.03

The inequality that represented this situation is

P(1+rt) \leq A

substitute the values and solve for t

4,500(1+0.03t) \leq 7,020

(0.03t) \leq (7,020/4,500)-1

t \leq [(7,020/4,500)-1]/0.03

t \leq 18.67\ years

You might be interested in
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the
marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

<em>Let the one side be \frac{1}{6}x</em>

<em>And the second side be  \frac{1}{3}x.</em>

<em>And the third side be  \frac{1}{4}x.</em>

According to question:

\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5

⇒\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5

Adding all the variables by taking common denominator we get:

⇒\frac{9x}{12}=13.5

<em>Multiplying both sides by 12 we get</em>:

⇒9x=162

<em>Dividing both sides by 9 we get</em>:

⇒x=18

Thus, <em>the sides of the triangle are</em>:

<u>1/6×18=3 inches.</u>

<u>1/3×18=6 inches.</u>

<u>1/4×18=9/2=4.5 inches</u>.

Therefore, the shortest side of the triangle is 3 inches.

4 0
2 years ago
selesaikan sistem persamaan linear dua variabel berikut dengan menggunakan metode subtitusi 5x+3y= 16 dan x+3y=8
mote1985 [20]
3x – 7y=16<span> ... Grafik dari persamaan </span>linear dua variabel<span>berbentuk garis luru
s, seperti yang ... SPLDV dengan </span>metode substitusi<span>, perhatikan contoh </span>berikut<span>. .... Jadi solusi </span>sistem persamaan<span> linier di atas adalah </span>x<span> = 2, y = </span>3<span>, z = 4. .... </span>8<span>. Berapakah nilai 6 − 2 jika </span><span>  merupakan penyelesaian dari ...</span>
3 0
3 years ago
Read 2 more answers
Hello may i please have help with this question
Pani-rosa [81]

Answer:

x=√139-3, x=-√139-3

Step-by-step explanation:

to complete the square, you first move the constant to the other side of the equation-its already done for you!

now, you find the perfect square trinomial. You divide the b value by 2, then square it: 6/2=3, 3^2=9.

What you do to one side has to be done with the other.

x^2+6x+9=130+9

now you can factor the square:

(x+3)^2=139

squareroot both sides:

x+3=√139

x+3=-√139

now subtract both sides by 3

x=√139-3

x=-√139-3

5 0
2 years ago
I need help <br> Please help ASAP
soldi70 [24.7K]

Answer:

The volume of the solid is  1,021m^3

Step-by-step explanation:

1. Cylinder

For find the volume of a cylinder we use the next formula:

V_{cylinder} = \pi h r^2 = \pi \cdot 9m\cdot (5m)^2 \approx 706.86m^3

Then the volume of the cylinder is equal to 706.86m^3

2. Cones

For find the volume of a cone we use the next formula:

V_{cone} = \pi \frac{h}{3} r^2 = \pi \cdot \frac{6m}{3} \cdot (5m)^2 \approx 157.08m^3

However there are two cones so we have to multiply the volume of one cone for two and we get the total volume for the cones which is 314.16m^3

3. Sum of the volumes

Finally we sum the volumes of the cylinder and the cones for get the final result

V_{cylinder} + V_{cones} = 706.86m^3 + 314.16m^3 \approx 1021m^3

So approximating the result is 1021m^3

5 0
2 years ago
HELPPPP ILL MARK YOU BRAINLIST SHOW WORK SHOW WORK
Vitek1552 [10]
You multiply the binomial by the whole trinomial.

So 5x^2 (5x^3 - 6x^2 - 5) and then -2x (5x^3 - 6x^2 - 5)

then solve so it is:
25x^5 - 30x^4 - 25x^2 - 10x^4 + 12x^3 + 10x.

Then you simplify to:
25x^5 - 40x^4 + 12x^3 - 25x^2 + 10x

Your Welcome
5 0
2 years ago
Other questions:
  • 7 pizzas ordered and ate 5 6/8. what's left?
    14·1 answer
  • Which event is most likely to occur?
    15·1 answer
  • Plz help me plz I need your I am struggling so badly I need your help plz help me I’m begging you plz plz help me
    8·2 answers
  • A​ cone-shaped vase has height 29 cm and radius 7 cm. An artist wants to fill the vase with colored sand. The sand comes in smal
    5·1 answer
  • Team members Corinne, Kevin, and Tomas decide to share the cost
    10·1 answer
  • Wich is equivalent to sqrt10^3/4 x
    15·1 answer
  • In an arithmetic-sudoku, the values 1,2,3,4 appear exactly once in each row and each column. Which value belongs in the grey squ
    9·1 answer
  • =
    14·1 answer
  • Will give brainliest no files plz
    11·2 answers
  • Write an expression for: half a number decreased by 12.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!