Answer:
$10,000
Step-by-step explanation:
Let x represent the amount invested in the 5.5% bond.
For an annual income of $1800, we want ...
(5.5%)x + (6.25%)(30,000-x) = 1800
(-0.75%)x + 1875 = 1800
-0.0075x = -75 . . . . . . . . . subtract 1875
x = 10,000 . . . . . . . . . . . . . divide by -0.0075
At most $10,000 should be invested at 5.5% to obtain at least $1800 in interest.
Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.
Hope this helps! Also can I have brainliest? It’s ok if no :) have a nice day.
Answer:
y=3x+(-3)
Step-by-step explanation:
y=mx+c
3=3(2)+c
3=6+c
c=-3
Answer: WY = 27
Step-by-step explanation:
Due to WX being a Perpendicular Bisector WY = WZ
4x - 5 = 2x + 11
Add 5 to both sides
4x = 2x + 16
Subtract 2x from both sides
2x = 16
Divide by 2
x = 8
So 4x - 5 of x = 8
4*8 = 32 - 5 =27
Angle- side- angle, the triangles are connected and have a line between them (side), & you can see the 2 separate angles amongst them.