Triangle has 180 degree in total, in order to get x, you use 180-70-75=35
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Step-by-step explanation:
The given is,
Investment = $ 8000
No. of years = 15 years
Interest rate, i = 3.1 %
( compounded monthly )
Step:1
For for calculating future value with compound interest monthly,
.................(1)
Where,
A = Future amount
P = Initial investment
r = Rate of interest
n = Number of compounding in a year
t = Time period
Step:2
From given values,
P = $8000
r = 3.1%
t = 15 years
n = 12 ( for monthly)
Equation (1) becomes,
A = $ 12728.48
Result:
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Answer:Answer:
w + 4 and 4 + w
Step-by-step explanation:
Given phrase,
w is increased by 4,
That is, w + 4
By the commutative property of addition,
The expression would be,
4 + w
For drawing a model that shows w + 4
Take two boxes in which first shows w and second shows 4 and add them,
Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.
Step-by-step explanation:
The correct question is
<span>Sakura speaks 150 words per minute on average in hungarian, and 190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 5 minutes total giving both instructions, and spoke 270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?</span>
Let
x------> total words spoken by sakura in hungarian------> 150 words /minute
y------> total words spoken by sakura in polish-----------> 190 words /minute
we know that
(x/150)+(y/190)=5--------- > equation 1
y=270 +x-------------------- > equation 2
<span>substituting 2 in 1
(x/150)+(270+x)/190=5
</span><span>multiplying all the expression by (150)*(190)
</span>190x+150*(270+x)=5*190*150
190x+40500+150x=142500
340x=102000-------------- > x=300
x=300 ------------- > total words spoken by sakura in hungarian
y=270+x=270+300=570
y=570 ----------- > total words spoken by sakura in polish
the question is <span>how long did sakura speak in hungarian, and how long did she speak in polish?
</span>
y=570 words in polish-------------------> 190 words /minute
if 190 words-----------------------------> 1 minute
570 words-------------------------- X
X=570/190=3 minutes
In polish Sakura spoke 3 minutes
x=300 words in hungarian-------------------> 150 words /minute
if 150 words-----------------------------> 1 minute
300 words-------------------------- X
X=300/150=2 minutes
In hungarian Sakura spoke 2 minutes
