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2 years ago

A student raises her grade average from a 75 to a 90. What was the percent of increase

1 answer:

4 0

This can be solved algebraically. Before we start, as context, to find a percentage you multiply by the percentage/100.

$75*x=90 \\ x= \frac{90}{75} \\ \\ \boxed{x=1.2}$

This tells us that 90 is 120% of 75. However, your question wants us to find the <em>increase</em>, therefore we don't need that 100.
Therefore, the increase is 20%.

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Mark is investing $8,000 in an account paying 5.5% interest compounded monthly.

agasfer [191]

Answer:

The formula is F = P(1 + interest percent)^n

Here,

p =8000 dollar

interest percent =5.5% = (5.5/12)/100 =0.004583 (compounded monthly)

n =7 x 12 =84 (compounded monthly)

=> Mark's account balance after 7 years

F = 8000*(1+0.004583)^84 =11746.2503 dollar

5 0

2 years ago

Isaiah spent $19.60 on a gift for his mother. The amount that he spent on the gift was 5/7 of the total amount that he spent at

jek_recluse [69]

5/7 of the total amount = 19.60

5/7x = 19.60...with x being the total amount
x = 19.60 * 7/5
x = 137.20 / 5
x = 27.44

7 0

2 years ago

Read 2 more answers

Given: mTRV = 60° mTRS = (4x)° Prove: x = 30 What is the missing reason in step 3? substitution property of equality angle addit

mihalych1998 [28]

Answer: Angle addition postulate.

Explanation: If $\angle TRV= 60^{\circ}$ and $\angle TRS=4x^{\circ}$

here, if we have to prove x=30

If there is a condition that TR is a line which meets with the line segment VS at point R then by the Angle addition postulate, we can say that $\angle TRV+\angle TRS=180^{\circ}$ ⇒ $x=30^{\circ}$

But,

In option (1) substitution property of equality

If there is condition that $\angle TRV=\angle TRS$

then we can use substitution property of equality,

And, in this case $4x^{\circ}=60^{\circ}$ ⇒ $x=15^{\circ}$

which is wrong. So, we can not use this property here.

In option (3) subtraction property of equality

There is no use of this property to find the value x.

In option (4) addition property of equality

There is no use of this property to find the value x.

8 0

2 years ago

Read 2 more answers

Write an equivalent expression to -2(1.5h+5)-4(-0.5+3h)

kvv77 [185]

Answer:

<em><u>-15h-8</u></em>

Step-by-step explanation:

-2(1.5h+5)-4(-0.5+3h)

= -3h -10 +2-12h

=-15h-8

6 0

2 years ago

Read 2 more answers

Lines K and L are parallel,and the measure of angle ABC is 19 degrees

Scorpion4ik [409]

Answer:

A. Because the measure of the angle $BCD$ is $19 \°$ and the angles $BCD$ and $ECF$ are Vertical angles. Therefore, they are congruent ( $m\angle BCD=m\angle ECF =19\°$ )

B. $m\angle BCD=19\°$

Step-by-step explanation:

<h3> <em><u>The missing figure is attached.</u></em></h3><h3 />

You can observe in the figure that the parallel lines $k$ and $l$ are intersected by a another line $m$ (this is a transversal).

Let's begin with PART B:

Observe that the angles $ABC$ and $BCD$ are located inside the parallel lines and they alternate sides of the transversal. Therefore, we can determine that these angles are "Alternate Interior Angles".

Since the lines $k$ and $l$ are parallel, we know that the Alternate Interior Angles are congruent. Then:

$m\angle ABC=m\angle BCD=19\°$

Now we can solve the PART A.

Observe the figure.

Since the angle $BCD$ and the angle $ECF$ share the same vertex, they are "Vertical angles" and, therefore, they are congruent:

$m\angle BCD=m\angle ECF =19\°$

8 0

2 years ago