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aleksandrvk [35]
3 years ago
7

Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.

Mathematics
2 answers:
Damm [24]3 years ago
6 0

Answer:

a R%/12 - 6(25%)

b 6 5/6

Step-by-step explanation:

Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point

SOLUTION

Let interest rate = R% per annum

each month it decreases by 1/4 point

for a month = R%/12

thus 1/4 = 1/4 x 100 = 25%

first month

R%/12 - 25%

for six months

R%/12 - 6(25%)

assume R = 100%

b total change  = 100/12 - 6 x 25/100

= 100/12 - 150/100 = 41/6 = 6 5/6

Maru [420]3 years ago
3 0

Answer:

FOR A: y=-1.5x

FOR B: \frac{-x}{2}

Step-by-step explanation:

A: Each month Interest rate decreases by \frac{1}{4} point.

B: Simplification

I honestly really hope this helps you!

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12.5x+8=83
12.5x=83-8
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8 0
3 years ago
4/5(x+5/6)-2/3(x-1/4)=7/6
solniwko [45]

Answer and Step-by-step explanation:

Hello~let's~solve~your~equation:

<u>Step 1: Simplify both sides of the equation:</u>

(\frac{4}{5}) (x)+(\frac{4}{5})(\frac{5}{6})+\frac{-2}{3}x+\frac{1}{6}    =\frac{7}{6}  (Distribute)

\frac{4}{5}x+\frac{2}{3}+\frac{-2}{3}x+\frac{1}{y\6}=\frac{7}{6}

(\frac{5}{5}x+ \frac{-2}{3}x )+(\frac{2}{3}+ \frac{1}{6})=\frac{7}{6} (Combine~like~terms)

\frac{2}{15}x+\frac{5}{6}=\frac{7}{6}

<u>Step 2: Subtract 5/6 from both sides:</u>

\frac{2}{15}x+\frac{5}{6}- \frac{5}{6} =\frac{7}{6} -\frac{5}{6}

\frac{2}{15}x=\frac{1}{3}

<u>Step 3: Multiply both sides by 15/2:</u>

(\frac{15}{2}) *(\frac{2}{15}x)=(\frac{15}{2})*(\frac{1}{3})

x= \frac{5}{2}

4 0
3 years ago
Wendy took a trip from city A to city B, a distance of 220 mi. She traveled part of the way by bus, which arrived at the train s
Sphinxa [80]

Answer:

1.72 hours on the train.

Step-by-step explanation:

The distance between the two cities is 220 miles. Therefore the sum of the bus and train distances is 220 miles. Let x be the distance by train and y the distance by bus: x + y = 220

Bus speed was 30 mph and train speed was 85 mph. The whole trip was 5 1/2 hours, that is 5.5 hours.

We have to, the bus distance would be equal to:

y = 260 - x

speed equals distance over time, like so:

v = d / t; if we rearrange for time

t = d / v, we can do another equality, since we know that the total time is 5.5 hours

5.5 = x / 85 + (260 - x) / 30; reorganizing we have left that:

(30 * x + 85 * 260 - 85x) / 85 * 30 = 5.5

Solving:

-55 * = 2550 * 5.5 - 22100

x = 146.81

146.81 miles would be the train distance.

To find the time, we divide by the speed of the train which is 85 mph:

146.81 / 85 = 1.72 h

We buy, with the equation the time:

146.81 / 85 + (260 - 146.81) / 30 = 5.5 hours

Therefore, Wendy takes 1.72 hours on the train.

6 0
3 years ago
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