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nataly862011 [7]
3 years ago
9

A savings account with 500 now has 120

Mathematics
2 answers:
vovangra [49]3 years ago
7 0

Answer:380

Step-by-step explanation:

500-120=380

Lelechka [254]3 years ago
4 0
500 minus 120 equals 380$
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One of the interior angles of a triangle is equal to 30°, and one of the exterior angles is equal to 40°. Find the remaining int
irina1246 [14]

Answer:

The remaining interior angles of this triangle are 140º and 10º

Step-by-step explanation:

The sum of the interior angles of a triangle is always 180º.

A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.

The sum of a interior angle with it's respective exterior angle is also always 180º.

We have that one of the exterior angles is equal to 40°. So it's respective interior angle is

40º + A2 = 180º

A2 = 180º - 40º

A2 = 140º

Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:

A1 + A2 + A3 = 180º

A3 = 180º - A1 - A2

A3 = 180º - 30º - 140º

A3 = 180º - 170º

A3 = 10º

7 0
3 years ago
Determine the utilization and the efficiency for each situations:A. A loan processing operation that processes an average of 7 l
Vera_Pavlovna [14]

Answer:

A) Utilization = 70%

Efficiency = 87.5%

B) Utilization = 66.67%

Efficiency = 80%

Step-by-step explanation:

Determine the utilization and the efficiency for each situations:

A. A loan processing operation that processes an average of 7 loans per day. The operation has a design capacity of 10 loans per day and an effective capacity of 8 loans per day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = 7 loans per day

Design capacity = 10 loans per day

Utilization = 7/10 × 100

= 70%

Efficiency = Actual output / Effective capacity × 100

Actual output = 7 loans per day

Effective capacity = 8 loans per day

Efficiency = 7/8 × 100

= 87.5%

B. A furnace repair team that services and average of four furnaces a day if the design capacity is six furnaces a day and the effective capacity is five furnaces a day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = four furnaces a day

Design capacity = six furnaces a day

Utilization = 4/6 × 100

= 66.67%

Efficiency = Actual output / Effective capacity × 100

Actual output = four furnaces a day

Effective capacity = five furnaces a day

Efficiency = 4/5 × 100

= 80%

6 0
2 years ago
The radius of a well is 1.4m and its depth 35 m is half-filled with water. find the volume of water inside the drum.
Rzqust [24]

Answer:

≈ 108 m³

Step-by-step explanation:

You're searching for the volume of a cylinder. The formula needed to find it is V=πr²h.

In this case, the radius r is 1.4m and the height h is 35/2=17.5m, as it is only half filled.

Now when inserting values, you get: V=π*1.4²*17.5 which is 107.757 m³

8 0
2 years ago
Read 2 more answers
Find all maxima and minima of the function given below. Use a horizontal span of -6 to 6. (Round your answers to two decimal pla
AVprozaik [17]
Equation: 4 + 4x + x²

Maxima: No maximum value from said equation
Minima: x = -2 since that is the only critical point in the equation
6 0
3 years ago
3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

3x^3+21x^2+36x=0

Taking 3x common.

3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0

x = 3

x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

5 0
3 years ago
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