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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

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Please help this is super urgent!!!
Leviafan [203]

Answer:

A number line with an open circle on 2, a closed circle on 6, and shading in between

Step-by-step explanation:

Given:

3x+1 > 7 → inequality A

4x ≤ 24 → inequality B

Step 1

Solve inequality A

3x+1>7

3x>7-1

x>2

the solution is the interval------> (2,∞)

Step 2

Solve inequality B

4 x ≤ 24

4 ≤ 6

the solution is the interval------> (-∞,6]

Step 3

Find the solution of the compound inequality

Solution A ∩ Solution B

(2,∞) ∩ (-∞,6]=(2,6]

therefore

The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between

3 0
2 years ago
Read 2 more answers
Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?
Strike441 [17]
For this case we have that the original point is given by:
 B = (7, 2)
 As the point is reflected through the x axis, then we have the following transformation:
 (x, y) --------------> (x, -y) -------------> (x ', y')
 Applying the transformation to the original ordered pair we have:
 (7, 2) --------------> (7, - (2)) -------------> (7, -2)
 Answer:
 
Point B 'is given by:
 
B '= (7, -2)
8 0
3 years ago
Read 2 more answers
True or false? The GCF of any two odd numbers is always odd
nevsk [136]
The answer to this question would be true.

An odd number wouldn't have any 2 in their factor because it is the definition of odd number, can't be divided by 2. Since they have no probability of having factor 2, then their GCF would not become an even number.
4 0
3 years ago
Find the slope and y-intercept of each equation y=3x-2
alina1380 [7]

Step-by-step explanation:

Slope = 3 (Coefficient of x)

y-intercept = -2

4 0
3 years ago
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There exists a similarity transformation that maps AABC to AA'B'C'. The measure
Dmitry [639]

Answer:

∠C' = 66°

Step-by-step explanation:

Because triangles ABC and A'B'C' are similar, their angles are still the same; only their side lengths are different, though still proportionate.

Hence, ∠A = ∠A', ∠B = ∠B', and ∠C = ∠C'.

Here, we're given that ∠A = 68, which means ∠A' = 68; we also know that ∠B = 46, so ∠B' = 46.

We want to find C', so remember that all angles in a triangle sum to 180:

∠A' + ∠B' + ∠C' = 180

68 + 46 + ∠C' = 180

114 + ∠C' = 180

∠C' = 66°

4 0
2 years ago
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